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Finding the Fourth Proportional to 64,426.32, 96,624.90 and 29,376

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Solution

The fourth proportional to 64,426.32, 96,624.90 and 29,376 is: 44,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,426.32 : 96,624.90 = 29,376 : x
  2. Step 2: Convert to fraction form
    64,426.32/96,624.90 = 29,376/x
  3. Step 3: Cross multiply
    64,426.32x = 96,624.90 × 29,376
  4. Step 4: Simplify right side
    64,426.32x = 2,838,453,062.40
  5. Step 5: Solve for x
    x = 2,838,453,062.40/64,426.32
  6. Step 6: Final answer
    x = 44,057.35

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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.