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Finding the Fourth Proportional to 74,280.74, 102,505.80 and 42,011.08

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Solution

The fourth proportional to 74,280.74, 102,505.80 and 42,011.08 is: 57,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,280.74 : 102,505.80 = 42,011.08 : x
  2. Step 2: Convert to fraction form
    74,280.74/102,505.80 = 42,011.08/x
  3. Step 3: Cross multiply
    74,280.74x = 102,505.80 × 42,011.08
  4. Step 4: Simplify right side
    74,280.74x = 4,306,379,265.54
  5. Step 5: Solve for x
    x = 4,306,379,265.54/74,280.74
  6. Step 6: Final answer
    x = 57,974.38

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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.