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Finding the Fourth Proportional to 102,429.66, 153,644.49 and 32,314.44

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Solution

The fourth proportional to 102,429.66, 153,644.49 and 32,314.44 is: 48,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,429.66 : 153,644.49 = 32,314.44 : x
  2. Step 2: Convert to fraction form
    102,429.66/153,644.49 = 32,314.44/x
  3. Step 3: Cross multiply
    102,429.66x = 153,644.49 × 32,314.44
  4. Step 4: Simplify right side
    102,429.66x = 4,964,935,491.86
  5. Step 5: Solve for x
    x = 4,964,935,491.86/102,429.66
  6. Step 6: Final answer
    x = 48,471.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.