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Finding the Fourth Proportional to 98,314, 147,471.56 and 24,442

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Solution

The fourth proportional to 98,314, 147,471.56 and 24,442 is: 36,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,314 : 147,471.56 = 24,442 : x
  2. Step 2: Convert to fraction form
    98,314/147,471.56 = 24,442/x
  3. Step 3: Cross multiply
    98,314x = 147,471.56 × 24,442
  4. Step 4: Simplify right side
    98,314x = 3,604,499,869.52
  5. Step 5: Solve for x
    x = 3,604,499,869.52/98,314
  6. Step 6: Final answer
    x = 36,663.14

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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.