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Finding the Fourth Proportional to 32,090.20, 48,117.51 and 13,128.15

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Solution

The fourth proportional to 32,090.20, 48,117.51 and 13,128.15 is: 19,684.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,090.20 : 48,117.51 = 13,128.15 : x
  2. Step 2: Convert to fraction form
    32,090.20/48,117.51 = 13,128.15/x
  3. Step 3: Cross multiply
    32,090.20x = 48,117.51 × 13,128.15
  4. Step 4: Simplify right side
    32,090.20x = 631,693,757.70
  5. Step 5: Solve for x
    x = 631,693,757.70/32,090.20
  6. Step 6: Final answer
    x = 19,684.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.