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Finding the Fourth Proportional to 75,673.50, 104,432.70 and 42,139.50

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Solution

The fourth proportional to 75,673.50, 104,432.70 and 42,139.50 is: 58,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,673.50 : 104,432.70 = 42,139.50 : x
  2. Step 2: Convert to fraction form
    75,673.50/104,432.70 = 42,139.50/x
  3. Step 3: Cross multiply
    75,673.50x = 104,432.70 × 42,139.50
  4. Step 4: Simplify right side
    75,673.50x = 4,400,741,761.65
  5. Step 5: Solve for x
    x = 4,400,741,761.65/75,673.50
  6. Step 6: Final answer
    x = 58,154.33

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1.5x scale

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.