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Finding the Fourth Proportional to 77,706.64, 107,225.08 and 43,713.98

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Solution

The fourth proportional to 77,706.64, 107,225.08 and 43,713.98 is: 60,319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,706.64 : 107,225.08 = 43,713.98 : x
  2. Step 2: Convert to fraction form
    77,706.64/107,225.08 = 43,713.98/x
  3. Step 3: Cross multiply
    77,706.64x = 107,225.08 × 43,713.98
  4. Step 4: Simplify right side
    77,706.64x = 4,687,235,002.62
  5. Step 5: Solve for x
    x = 4,687,235,002.62/77,706.64
  6. Step 6: Final answer
    x = 60,319.62

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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.