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Finding the Fourth Proportional to 78,096.16, 117,144.24 and 18,931.83

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Solution

The fourth proportional to 78,096.16, 117,144.24 and 18,931.83 is: 28,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,096.16 : 117,144.24 = 18,931.83 : x
  2. Step 2: Convert to fraction form
    78,096.16/117,144.24 = 18,931.83/x
  3. Step 3: Cross multiply
    78,096.16x = 117,144.24 × 18,931.83
  4. Step 4: Simplify right side
    78,096.16x = 2,217,754,742.50
  5. Step 5: Solve for x
    x = 2,217,754,742.50/78,096.16
  6. Step 6: Final answer
    x = 28,397.75

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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.