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Finding the Fourth Proportional to 92,405.84, 138,623.70 and 36,215.46

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Solution

The fourth proportional to 92,405.84, 138,623.70 and 36,215.46 is: 54,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,405.84 : 138,623.70 = 36,215.46 : x
  2. Step 2: Convert to fraction form
    92,405.84/138,623.70 = 36,215.46/x
  3. Step 3: Cross multiply
    92,405.84x = 138,623.70 × 36,215.46
  4. Step 4: Simplify right side
    92,405.84x = 5,020,321,062.40
  5. Step 5: Solve for x
    x = 5,020,321,062.40/92,405.84
  6. Step 6: Final answer
    x = 54,329.05

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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.