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Finding the Fourth Proportional to 77,672.70, 116,595.45 and 48,123.90

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Solution

The fourth proportional to 77,672.70, 116,595.45 and 48,123.90 is: 72,239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,672.70 : 116,595.45 = 48,123.90 : x
  2. Step 2: Convert to fraction form
    77,672.70/116,595.45 = 48,123.90/x
  3. Step 3: Cross multiply
    77,672.70x = 116,595.45 × 48,123.90
  4. Step 4: Simplify right side
    77,672.70x = 5,611,027,776.26
  5. Step 5: Solve for x
    x = 5,611,027,776.26/77,672.70
  6. Step 6: Final answer
    x = 72,239.38

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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.