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Finding the Fourth Proportional to 77,063.34, 115,594.64 and 24,476.88

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Solution

The fourth proportional to 77,063.34, 115,594.64 and 24,476.88 is: 36,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,063.34 : 115,594.64 = 24,476.88 : x
  2. Step 2: Convert to fraction form
    77,063.34/115,594.64 = 24,476.88/x
  3. Step 3: Cross multiply
    77,063.34x = 115,594.64 × 24,476.88
  4. Step 4: Simplify right side
    77,063.34x = 2,829,396,131.92
  5. Step 5: Solve for x
    x = 2,829,396,131.92/77,063.34
  6. Step 6: Final answer
    x = 36,715.20

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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.