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Finding the Fourth Proportional to 72,988.76, 109,499.52 and 23,071.76

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Solution

The fourth proportional to 72,988.76, 109,499.52 and 23,071.76 is: 34,612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,988.76 : 109,499.52 = 23,071.76 : x
  2. Step 2: Convert to fraction form
    72,988.76/109,499.52 = 23,071.76/x
  3. Step 3: Cross multiply
    72,988.76x = 109,499.52 × 23,071.76
  4. Step 4: Simplify right side
    72,988.76x = 2,526,346,645.56
  5. Step 5: Solve for x
    x = 2,526,346,645.56/72,988.76
  6. Step 6: Final answer
    x = 34,612.82

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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.