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Finding the Fourth Proportional to 76,948.34, 106,232.87 and 58,655.44

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Solution

The fourth proportional to 76,948.34, 106,232.87 and 58,655.44 is: 80,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,948.34 : 106,232.87 = 58,655.44 : x
  2. Step 2: Convert to fraction form
    76,948.34/106,232.87 = 58,655.44/x
  3. Step 3: Cross multiply
    76,948.34x = 106,232.87 × 58,655.44
  4. Step 4: Simplify right side
    76,948.34x = 6,231,136,011.74
  5. Step 5: Solve for x
    x = 6,231,136,011.74/76,948.34
  6. Step 6: Final answer
    x = 80,978.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.