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Finding the Fourth Proportional to 30,575.52, 45,862.56 and 9,799.20

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Solution

The fourth proportional to 30,575.52, 45,862.56 and 9,799.20 is: 14,698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,575.52 : 45,862.56 = 9,799.20 : x
  2. Step 2: Convert to fraction form
    30,575.52/45,862.56 = 9,799.20/x
  3. Step 3: Cross multiply
    30,575.52x = 45,862.56 × 9,799.20
  4. Step 4: Simplify right side
    30,575.52x = 449,416,397.95
  5. Step 5: Solve for x
    x = 449,416,397.95/30,575.52
  6. Step 6: Final answer
    x = 14,698.57

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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.