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Finding the Fourth Proportional to 32,781.25, 49,170.61 and 9,407.69

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Solution

The fourth proportional to 32,781.25, 49,170.61 and 9,407.69 is: 14,111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781.25 : 49,170.61 = 9,407.69 : x
  2. Step 2: Convert to fraction form
    32,781.25/49,170.61 = 9,407.69/x
  3. Step 3: Cross multiply
    32,781.25x = 49,170.61 × 9,407.69
  4. Step 4: Simplify right side
    32,781.25x = 462,581,808.95
  5. Step 5: Solve for x
    x = 462,581,808.95/32,781.25
  6. Step 6: Final answer
    x = 14,111.17

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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.