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Finding the Fourth Proportional to 92,126.84, 138,102.77 and 36,002.95

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Solution

The fourth proportional to 92,126.84, 138,102.77 and 36,002.95 is: 53,970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,126.84 : 138,102.77 = 36,002.95 : x
  2. Step 2: Convert to fraction form
    92,126.84/138,102.77 = 36,002.95/x
  3. Step 3: Cross multiply
    92,126.84x = 138,102.77 × 36,002.95
  4. Step 4: Simplify right side
    92,126.84x = 4,972,106,867.92
  5. Step 5: Solve for x
    x = 4,972,106,867.92/92,126.84
  6. Step 6: Final answer
    x = 53,970.23

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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.