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Finding the Fourth Proportional to 64,535.78, 96,814.95 and 29,478.98

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Solution

The fourth proportional to 64,535.78, 96,814.95 and 29,478.98 is: 44,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,535.78 : 96,814.95 = 29,478.98 : x
  2. Step 2: Convert to fraction form
    64,535.78/96,814.95 = 29,478.98/x
  3. Step 3: Cross multiply
    64,535.78x = 96,814.95 × 29,478.98
  4. Step 4: Simplify right side
    64,535.78x = 2,854,005,974.75
  5. Step 5: Solve for x
    x = 2,854,005,974.75/64,535.78
  6. Step 6: Final answer
    x = 44,223.62

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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.