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Finding the Fourth Proportional to 39,632, 59,406.10 and 14,656.02

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Solution

The fourth proportional to 39,632, 59,406.10 and 14,656.02 is: 21,968.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,632 : 59,406.10 = 14,656.02 : x
  2. Step 2: Convert to fraction form
    39,632/59,406.10 = 14,656.02/x
  3. Step 3: Cross multiply
    39,632x = 59,406.10 × 14,656.02
  4. Step 4: Simplify right side
    39,632x = 870,656,989.72
  5. Step 5: Solve for x
    x = 870,656,989.72/39,632
  6. Step 6: Final answer
    x = 21,968.54

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