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Finding the Fourth Proportional to 77,374.98, 116,044.00 and 39,915.77

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Solution

The fourth proportional to 77,374.98, 116,044.00 and 39,915.77 is: 59,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,374.98 : 116,044.00 = 39,915.77 : x
  2. Step 2: Convert to fraction form
    77,374.98/116,044.00 = 39,915.77/x
  3. Step 3: Cross multiply
    77,374.98x = 116,044.00 × 39,915.77
  4. Step 4: Simplify right side
    77,374.98x = 4,631,985,586.62
  5. Step 5: Solve for x
    x = 4,631,985,586.62/77,374.98
  6. Step 6: Final answer
    x = 59,864.13

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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.