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Finding the Fourth Proportional to 74,369.76, 102,623.94 and 42,532.44

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Solution

The fourth proportional to 74,369.76, 102,623.94 and 42,532.44 is: 58,691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,369.76 : 102,623.94 = 42,532.44 : x
  2. Step 2: Convert to fraction form
    74,369.76/102,623.94 = 42,532.44/x
  3. Step 3: Cross multiply
    74,369.76x = 102,623.94 × 42,532.44
  4. Step 4: Simplify right side
    74,369.76x = 4,364,846,570.61
  5. Step 5: Solve for x
    x = 4,364,846,570.61/74,369.76
  6. Step 6: Final answer
    x = 58,691.15

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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.