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Finding the Fourth Proportional to 77,337.64, 106,777.38 and 59,400.68

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Solution

The fourth proportional to 77,337.64, 106,777.38 and 59,400.68 is: 82,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,337.64 : 106,777.38 = 59,400.68 : x
  2. Step 2: Convert to fraction form
    77,337.64/106,777.38 = 59,400.68/x
  3. Step 3: Cross multiply
    77,337.64x = 106,777.38 × 59,400.68
  4. Step 4: Simplify right side
    77,337.64x = 6,342,648,980.62
  5. Step 5: Solve for x
    x = 6,342,648,980.62/77,337.64
  6. Step 6: Final answer
    x = 82,012.45

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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.