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Finding the Fourth Proportional to 75,726.70, 104,520.65 and 47,068

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Solution

The fourth proportional to 75,726.70, 104,520.65 and 47,068 is: 64,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,726.70 : 104,520.65 = 47,068 : x
  2. Step 2: Convert to fraction form
    75,726.70/104,520.65 = 47,068/x
  3. Step 3: Cross multiply
    75,726.70x = 104,520.65 × 47,068
  4. Step 4: Simplify right side
    75,726.70x = 4,919,577,954.20
  5. Step 5: Solve for x
    x = 4,919,577,954.20/75,726.70
  6. Step 6: Final answer
    x = 64,964.91

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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.