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Finding the Fourth Proportional to 77,870.88, 107,462.64 and 44,337.12

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Solution

The fourth proportional to 77,870.88, 107,462.64 and 44,337.12 is: 61,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,870.88 : 107,462.64 = 44,337.12 : x
  2. Step 2: Convert to fraction form
    77,870.88/107,462.64 = 44,337.12/x
  3. Step 3: Cross multiply
    77,870.88x = 107,462.64 × 44,337.12
  4. Step 4: Simplify right side
    77,870.88x = 4,764,583,965.20
  5. Step 5: Solve for x
    x = 4,764,583,965.20/77,870.88
  6. Step 6: Final answer
    x = 61,185.70

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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.