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Finding the Fourth Proportional to 76,034.72, 104,926.28 and 42,044.64

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Solution

The fourth proportional to 76,034.72, 104,926.28 and 42,044.64 is: 58,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,034.72 : 104,926.28 = 42,044.64 : x
  2. Step 2: Convert to fraction form
    76,034.72/104,926.28 = 42,044.64/x
  3. Step 3: Cross multiply
    76,034.72x = 104,926.28 × 42,044.64
  4. Step 4: Simplify right side
    76,034.72x = 4,411,587,669.14
  5. Step 5: Solve for x
    x = 4,411,587,669.14/76,034.72
  6. Step 6: Final answer
    x = 58,020.70

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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.