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Finding the Fourth Proportional to 32,116.44, 48,179.28 and 9,931.76

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Solution

The fourth proportional to 32,116.44, 48,179.28 and 9,931.76 is: 14,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,116.44 : 48,179.28 = 9,931.76 : x
  2. Step 2: Convert to fraction form
    32,116.44/48,179.28 = 9,931.76/x
  3. Step 3: Cross multiply
    32,116.44x = 48,179.28 × 9,931.76
  4. Step 4: Simplify right side
    32,116.44x = 478,505,045.93
  5. Step 5: Solve for x
    x = 478,505,045.93/32,116.44
  6. Step 6: Final answer
    x = 14,899.07

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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.