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Finding the Fourth Proportional to 32,577.70, 44,962.05 and 20,642.15

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Solution

The fourth proportional to 32,577.70, 44,962.05 and 20,642.15 is: 28,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,577.70 : 44,962.05 = 20,642.15 : x
  2. Step 2: Convert to fraction form
    32,577.70/44,962.05 = 20,642.15/x
  3. Step 3: Cross multiply
    32,577.70x = 44,962.05 × 20,642.15
  4. Step 4: Simplify right side
    32,577.70x = 928,113,380.41
  5. Step 5: Solve for x
    x = 928,113,380.41/32,577.70
  6. Step 6: Final answer
    x = 28,489.22

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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.