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Finding the Fourth Proportional to 32,781.50, 49,170.98 and 9,407.94

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Solution

The fourth proportional to 32,781.50, 49,170.98 and 9,407.94 is: 14,111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781.50 : 49,170.98 = 9,407.94 : x
  2. Step 2: Convert to fraction form
    32,781.50/49,170.98 = 9,407.94/x
  3. Step 3: Cross multiply
    32,781.50x = 49,170.98 × 9,407.94
  4. Step 4: Simplify right side
    32,781.50x = 462,597,653.10
  5. Step 5: Solve for x
    x = 462,597,653.10/32,781.50
  6. Step 6: Final answer
    x = 14,111.55

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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.