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Finding the Fourth Proportional to 92,547.20, 138,820.80 and 30,217.70

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Solution

The fourth proportional to 92,547.20, 138,820.80 and 30,217.70 is: 45,326.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,547.20 : 138,820.80 = 30,217.70 : x
  2. Step 2: Convert to fraction form
    92,547.20/138,820.80 = 30,217.70/x
  3. Step 3: Cross multiply
    92,547.20x = 138,820.80 × 30,217.70
  4. Step 4: Simplify right side
    92,547.20x = 4,194,845,288.16
  5. Step 5: Solve for x
    x = 4,194,845,288.16/92,547.20
  6. Step 6: Final answer
    x = 45,326.55

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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.