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Finding the Fourth Proportional to 76,237.68, 105,206.40 and 42,245.85

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Solution

The fourth proportional to 76,237.68, 105,206.40 and 42,245.85 is: 58,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,237.68 : 105,206.40 = 42,245.85 : x
  2. Step 2: Convert to fraction form
    76,237.68/105,206.40 = 42,245.85/x
  3. Step 3: Cross multiply
    76,237.68x = 105,206.40 × 42,245.85
  4. Step 4: Simplify right side
    76,237.68x = 4,444,533,793.44
  5. Step 5: Solve for x
    x = 4,444,533,793.44/76,237.68
  6. Step 6: Final answer
    x = 58,298.39

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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.