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Finding the Fourth Proportional to 65,221.70, 97,833.06 and 23,101.95

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Solution

The fourth proportional to 65,221.70, 97,833.06 and 23,101.95 is: 34,653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,221.70 : 97,833.06 = 23,101.95 : x
  2. Step 2: Convert to fraction form
    65,221.70/97,833.06 = 23,101.95/x
  3. Step 3: Cross multiply
    65,221.70x = 97,833.06 × 23,101.95
  4. Step 4: Simplify right side
    65,221.70x = 2,260,134,460.47
  5. Step 5: Solve for x
    x = 2,260,134,460.47/65,221.70
  6. Step 6: Final answer
    x = 34,653.11

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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.