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Finding the Fourth Proportional to 30,442.93, 45,664.47 and 9,382.29

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Solution

The fourth proportional to 30,442.93, 45,664.47 and 9,382.29 is: 14,073.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.93 : 45,664.47 = 9,382.29 : x
  2. Step 2: Convert to fraction form
    30,442.93/45,664.47 = 9,382.29/x
  3. Step 3: Cross multiply
    30,442.93x = 45,664.47 × 9,382.29
  4. Step 4: Simplify right side
    30,442.93x = 428,437,300.24
  5. Step 5: Solve for x
    x = 428,437,300.24/30,442.93
  6. Step 6: Final answer
    x = 14,073.46

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1.5x scale

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.