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Finding the Fourth Proportional to 78,146.80, 107,842.44 and 42,337.72

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Solution

The fourth proportional to 78,146.80, 107,842.44 and 42,337.72 is: 58,425.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,146.80 : 107,842.44 = 42,337.72 : x
  2. Step 2: Convert to fraction form
    78,146.80/107,842.44 = 42,337.72/x
  3. Step 3: Cross multiply
    78,146.80x = 107,842.44 × 42,337.72
  4. Step 4: Simplify right side
    78,146.80x = 4,565,803,028.84
  5. Step 5: Solve for x
    x = 4,565,803,028.84/78,146.80
  6. Step 6: Final answer
    x = 58,425.98

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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.