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Finding the Fourth Proportional to 92,072.80, 138,116.16 and 25,512.16

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Solution

The fourth proportional to 92,072.80, 138,116.16 and 25,512.16 is: 38,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,072.80 : 138,116.16 = 25,512.16 : x
  2. Step 2: Convert to fraction form
    92,072.80/138,116.16 = 25,512.16/x
  3. Step 3: Cross multiply
    92,072.80x = 138,116.16 × 25,512.16
  4. Step 4: Simplify right side
    92,072.80x = 3,523,641,572.51
  5. Step 5: Solve for x
    x = 3,523,641,572.51/92,072.80
  6. Step 6: Final answer
    x = 38,270.17

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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.