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Finding the Fourth Proportional to 78,350.98, 117,534.82 and 25,024.32

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Solution

The fourth proportional to 78,350.98, 117,534.82 and 25,024.32 is: 37,539.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,350.98 : 117,534.82 = 25,024.32 : x
  2. Step 2: Convert to fraction form
    78,350.98/117,534.82 = 25,024.32/x
  3. Step 3: Cross multiply
    78,350.98x = 117,534.82 × 25,024.32
  4. Step 4: Simplify right side
    78,350.98x = 2,941,228,946.82
  5. Step 5: Solve for x
    x = 2,941,228,946.82/78,350.98
  6. Step 6: Final answer
    x = 37,539.15

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Why These Related Problems?

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