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Finding the Fourth Proportional to 32,116.54, 48,179.44 and 9,931.66

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Solution

The fourth proportional to 32,116.54, 48,179.44 and 9,931.66 is: 14,898.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,116.54 : 48,179.44 = 9,931.66 : x
  2. Step 2: Convert to fraction form
    32,116.54/48,179.44 = 9,931.66/x
  3. Step 3: Cross multiply
    32,116.54x = 48,179.44 × 9,931.66
  4. Step 4: Simplify right side
    32,116.54x = 478,501,817.07
  5. Step 5: Solve for x
    x = 478,501,817.07/32,116.54
  6. Step 6: Final answer
    x = 14,898.92

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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.