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Finding the Fourth Proportional to 52,102.98, 78,097.98 and 25,418.58

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Solution

The fourth proportional to 52,102.98, 78,097.98 and 25,418.58 is: 38,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,102.98 : 78,097.98 = 25,418.58 : x
  2. Step 2: Convert to fraction form
    52,102.98/78,097.98 = 25,418.58/x
  3. Step 3: Cross multiply
    52,102.98x = 78,097.98 × 25,418.58
  4. Step 4: Simplify right side
    52,102.98x = 1,985,139,752.47
  5. Step 5: Solve for x
    x = 1,985,139,752.47/52,102.98
  6. Step 6: Final answer
    x = 38,100.31

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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.