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Finding the Fourth Proportional to 83,002.96, 114,532.53 and 47,189.01

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Solution

The fourth proportional to 83,002.96, 114,532.53 and 47,189.01 is: 65,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,002.96 : 114,532.53 = 47,189.01 : x
  2. Step 2: Convert to fraction form
    83,002.96/114,532.53 = 47,189.01/x
  3. Step 3: Cross multiply
    83,002.96x = 114,532.53 × 47,189.01
  4. Step 4: Simplify right side
    83,002.96x = 5,404,677,221.47
  5. Step 5: Solve for x
    x = 5,404,677,221.47/83,002.96
  6. Step 6: Final answer
    x = 65,114.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.