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Finding the Fourth Proportional to 46,428.93, 69,671.06 and 16,849.07

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Solution

The fourth proportional to 46,428.93, 69,671.06 and 16,849.07 is: 25,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,428.93 : 69,671.06 = 16,849.07 : x
  2. Step 2: Convert to fraction form
    46,428.93/69,671.06 = 16,849.07/x
  3. Step 3: Cross multiply
    46,428.93x = 69,671.06 × 16,849.07
  4. Step 4: Simplify right side
    46,428.93x = 1,173,892,566.91
  5. Step 5: Solve for x
    x = 1,173,892,566.91/46,428.93
  6. Step 6: Final answer
    x = 25,283.64

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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.