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Finding the Fourth Proportional to 32,781.60, 49,155.12 and 14,292

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Solution

The fourth proportional to 32,781.60, 49,155.12 and 14,292 is: 21,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781.60 : 49,155.12 = 14,292 : x
  2. Step 2: Convert to fraction form
    32,781.60/49,155.12 = 14,292/x
  3. Step 3: Cross multiply
    32,781.60x = 49,155.12 × 14,292
  4. Step 4: Simplify right side
    32,781.60x = 702,524,975.04
  5. Step 5: Solve for x
    x = 702,524,975.04/32,781.60
  6. Step 6: Final answer
    x = 21,430.47

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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.