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Finding the Fourth Proportional to 76,246.38, 105,220.59 and 42,255.42

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Solution

The fourth proportional to 76,246.38, 105,220.59 and 42,255.42 is: 58,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,246.38 : 105,220.59 = 42,255.42 : x
  2. Step 2: Convert to fraction form
    76,246.38/105,220.59 = 42,255.42/x
  3. Step 3: Cross multiply
    76,246.38x = 105,220.59 × 42,255.42
  4. Step 4: Simplify right side
    76,246.38x = 4,446,140,618.46
  5. Step 5: Solve for x
    x = 4,446,140,618.46/76,246.38
  6. Step 6: Final answer
    x = 58,312.81

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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.