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Finding the Fourth Proportional to 78,002.68, 117,012.20 and 25,416.24

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Solution

The fourth proportional to 78,002.68, 117,012.20 and 25,416.24 is: 38,127.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,002.68 : 117,012.20 = 25,416.24 : x
  2. Step 2: Convert to fraction form
    78,002.68/117,012.20 = 25,416.24/x
  3. Step 3: Cross multiply
    78,002.68x = 117,012.20 × 25,416.24
  4. Step 4: Simplify right side
    78,002.68x = 2,974,010,158.13
  5. Step 5: Solve for x
    x = 2,974,010,158.13/78,002.68
  6. Step 6: Final answer
    x = 38,127.03

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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.