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Finding the Fourth Proportional to 32,066.96, 47,842.90 and 28,749.20

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Solution

The fourth proportional to 32,066.96, 47,842.90 and 28,749.20 is: 42,892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,066.96 : 47,842.90 = 28,749.20 : x
  2. Step 2: Convert to fraction form
    32,066.96/47,842.90 = 28,749.20/x
  3. Step 3: Cross multiply
    32,066.96x = 47,842.90 × 28,749.20
  4. Step 4: Simplify right side
    32,066.96x = 1,375,445,100.68
  5. Step 5: Solve for x
    x = 1,375,445,100.68/32,066.96
  6. Step 6: Final answer
    x = 42,892.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.