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Finding the Fourth Proportional to 81,071.60, 121,610.13 and 21,907.78

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Solution

The fourth proportional to 81,071.60, 121,610.13 and 21,907.78 is: 32,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,071.60 : 121,610.13 = 21,907.78 : x
  2. Step 2: Convert to fraction form
    81,071.60/121,610.13 = 21,907.78/x
  3. Step 3: Cross multiply
    81,071.60x = 121,610.13 × 21,907.78
  4. Step 4: Simplify right side
    81,071.60x = 2,664,207,973.81
  5. Step 5: Solve for x
    x = 2,664,207,973.81/81,071.60
  6. Step 6: Final answer
    x = 32,862.41

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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.