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Finding the Fourth Proportional to 73,970.42, 110,909.40 and 31,253.88

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Solution

The fourth proportional to 73,970.42, 110,909.40 and 31,253.88 is: 46,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,970.42 : 110,909.40 = 31,253.88 : x
  2. Step 2: Convert to fraction form
    73,970.42/110,909.40 = 31,253.88/x
  3. Step 3: Cross multiply
    73,970.42x = 110,909.40 × 31,253.88
  4. Step 4: Simplify right side
    73,970.42x = 3,466,349,078.47
  5. Step 5: Solve for x
    x = 3,466,349,078.47/73,970.42
  6. Step 6: Final answer
    x = 46,861.29

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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.