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Finding the Fourth Proportional to 73,926.30, 102,013.50 and 42,094.92

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Solution

The fourth proportional to 73,926.30, 102,013.50 and 42,094.92 is: 58,088.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,926.30 : 102,013.50 = 42,094.92 : x
  2. Step 2: Convert to fraction form
    73,926.30/102,013.50 = 42,094.92/x
  3. Step 3: Cross multiply
    73,926.30x = 102,013.50 × 42,094.92
  4. Step 4: Simplify right side
    73,926.30x = 4,294,250,121.42
  5. Step 5: Solve for x
    x = 4,294,250,121.42/73,926.30
  6. Step 6: Final answer
    x = 58,088.26

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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.