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Finding the Fourth Proportional to 78,333.60, 108,100.44 and 42,523.59

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Solution

The fourth proportional to 78,333.60, 108,100.44 and 42,523.59 is: 58,682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,333.60 : 108,100.44 = 42,523.59 : x
  2. Step 2: Convert to fraction form
    78,333.60/108,100.44 = 42,523.59/x
  3. Step 3: Cross multiply
    78,333.60x = 108,100.44 × 42,523.59
  4. Step 4: Simplify right side
    78,333.60x = 4,596,818,789.38
  5. Step 5: Solve for x
    x = 4,596,818,789.38/78,333.60
  6. Step 6: Final answer
    x = 58,682.59

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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.