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Finding the Fourth Proportional to 92,133.25, 138,202.61 and 25,578.28

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Solution

The fourth proportional to 92,133.25, 138,202.61 and 25,578.28 is: 38,368.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,133.25 : 138,202.61 = 25,578.28 : x
  2. Step 2: Convert to fraction form
    92,133.25/138,202.61 = 25,578.28/x
  3. Step 3: Cross multiply
    92,133.25x = 138,202.61 × 25,578.28
  4. Step 4: Simplify right side
    92,133.25x = 3,534,985,100.17
  5. Step 5: Solve for x
    x = 3,534,985,100.17/92,133.25
  6. Step 6: Final answer
    x = 38,368.18

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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.