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Finding the Fourth Proportional to 32,938.71, 49,409.43 and 9,565.15

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Solution

The fourth proportional to 32,938.71, 49,409.43 and 9,565.15 is: 14,348.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,938.71 : 49,409.43 = 9,565.15 : x
  2. Step 2: Convert to fraction form
    32,938.71/49,409.43 = 9,565.15/x
  3. Step 3: Cross multiply
    32,938.71x = 49,409.43 × 9,565.15
  4. Step 4: Simplify right side
    32,938.71x = 472,608,609.36
  5. Step 5: Solve for x
    x = 472,608,609.36/32,938.71
  6. Step 6: Final answer
    x = 14,348.12

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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.