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Finding the Fourth Proportional to 78,423.12, 117,654.48 and 23,019.12

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Solution

The fourth proportional to 78,423.12, 117,654.48 and 23,019.12 is: 34,534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,423.12 : 117,654.48 = 23,019.12 : x
  2. Step 2: Convert to fraction form
    78,423.12/117,654.48 = 23,019.12/x
  3. Step 3: Cross multiply
    78,423.12x = 117,654.48 × 23,019.12
  4. Step 4: Simplify right side
    78,423.12x = 2,708,302,593.66
  5. Step 5: Solve for x
    x = 2,708,302,593.66/78,423.12
  6. Step 6: Final answer
    x = 34,534.49

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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.