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Finding the Fourth Proportional to 81,020.90, 121,531.35 and 36,649.10

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Solution

The fourth proportional to 81,020.90, 121,531.35 and 36,649.10 is: 54,973.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,020.90 : 121,531.35 = 36,649.10 : x
  2. Step 2: Convert to fraction form
    81,020.90/121,531.35 = 36,649.10/x
  3. Step 3: Cross multiply
    81,020.90x = 121,531.35 × 36,649.10
  4. Step 4: Simplify right side
    81,020.90x = 4,454,014,599.29
  5. Step 5: Solve for x
    x = 4,454,014,599.29/81,020.90
  6. Step 6: Final answer
    x = 54,973.65

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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.