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Finding the Fourth Proportional to 32,938.60, 49,023.69 and 32,836.20

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Solution

The fourth proportional to 32,938.60, 49,023.69 and 32,836.20 is: 48,871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,938.60 : 49,023.69 = 32,836.20 : x
  2. Step 2: Convert to fraction form
    32,938.60/49,023.69 = 32,836.20/x
  3. Step 3: Cross multiply
    32,938.60x = 49,023.69 × 32,836.20
  4. Step 4: Simplify right side
    32,938.60x = 1,609,751,689.58
  5. Step 5: Solve for x
    x = 1,609,751,689.58/32,938.60
  6. Step 6: Final answer
    x = 48,871.28

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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.