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Finding the Fourth Proportional to 30,819,393.92, 46,227,969.69 and 9,253,435.10

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Solution

The fourth proportional to 30,819,393.92, 46,227,969.69 and 9,253,435.10 is: 13,879,816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,819,393.92 : 46,227,969.69 = 9,253,435.10 : x
  2. Step 2: Convert to fraction form
    30,819,393.92/46,227,969.69 = 9,253,435.10/x
  3. Step 3: Cross multiply
    30,819,393.92x = 46,227,969.69 × 9,253,435.10
  4. Step 4: Simplify right side
    30,819,393.92x = 427,767,517,331,182.06
  5. Step 5: Solve for x
    x = 427,767,517,331,182.06/30,819,393.92
  6. Step 6: Final answer
    x = 13,879,816.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.