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Finding the Fourth Proportional to 71,097.20, 106,492.20 and 58,809.20

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Solution

The fourth proportional to 71,097.20, 106,492.20 and 58,809.20 is: 88,086.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,097.20 : 106,492.20 = 58,809.20 : x
  2. Step 2: Convert to fraction form
    71,097.20/106,492.20 = 58,809.20/x
  3. Step 3: Cross multiply
    71,097.20x = 106,492.20 × 58,809.20
  4. Step 4: Simplify right side
    71,097.20x = 6,262,721,088.24
  5. Step 5: Solve for x
    x = 6,262,721,088.24/71,097.20
  6. Step 6: Final answer
    x = 88,086.75

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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.