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Finding the Fourth Proportional to 121,416.52, 182,124.78 and 38,317

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Solution

The fourth proportional to 121,416.52, 182,124.78 and 38,317 is: 57,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,416.52 : 182,124.78 = 38,317 : x
  2. Step 2: Convert to fraction form
    121,416.52/182,124.78 = 38,317/x
  3. Step 3: Cross multiply
    121,416.52x = 182,124.78 × 38,317
  4. Step 4: Simplify right side
    121,416.52x = 6,978,475,195.26
  5. Step 5: Solve for x
    x = 6,978,475,195.26/121,416.52
  6. Step 6: Final answer
    x = 57,475.50

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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.