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Finding the Fourth Proportional to 67,123.60, 100,904.10 and 47,537.80

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Solution

The fourth proportional to 67,123.60, 100,904.10 and 47,537.80 is: 71,461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,123.60 : 100,904.10 = 47,537.80 : x
  2. Step 2: Convert to fraction form
    67,123.60/100,904.10 = 47,537.80/x
  3. Step 3: Cross multiply
    67,123.60x = 100,904.10 × 47,537.80
  4. Step 4: Simplify right side
    67,123.60x = 4,796,758,924.98
  5. Step 5: Solve for x
    x = 4,796,758,924.98/67,123.60
  6. Step 6: Final answer
    x = 71,461.59

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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.