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Finding the Fourth Proportional to 87,148.88, 130,746 and 24,824.24

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Solution

The fourth proportional to 87,148.88, 130,746 and 24,824.24 is: 37,242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,148.88 : 130,746 = 24,824.24 : x
  2. Step 2: Convert to fraction form
    87,148.88/130,746 = 24,824.24/x
  3. Step 3: Cross multiply
    87,148.88x = 130,746 × 24,824.24
  4. Step 4: Simplify right side
    87,148.88x = 3,245,670,083.04
  5. Step 5: Solve for x
    x = 3,245,670,083.04/87,148.88
  6. Step 6: Final answer
    x = 37,242.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.