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Finding the Fourth Proportional to 102,458.64, 153,715.32 and 32,339.28

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Solution

The fourth proportional to 102,458.64, 153,715.32 and 32,339.28 is: 48,517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,458.64 : 153,715.32 = 32,339.28 : x
  2. Step 2: Convert to fraction form
    102,458.64/153,715.32 = 32,339.28/x
  3. Step 3: Cross multiply
    102,458.64x = 153,715.32 × 32,339.28
  4. Step 4: Simplify right side
    102,458.64x = 4,971,042,773.77
  5. Step 5: Solve for x
    x = 4,971,042,773.77/102,458.64
  6. Step 6: Final answer
    x = 48,517.56

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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.