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Finding the Fourth Proportional to 71,310, 106,970.76 and 22,062

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Solution

The fourth proportional to 71,310, 106,970.76 and 22,062 is: 33,094.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,310 : 106,970.76 = 22,062 : x
  2. Step 2: Convert to fraction form
    71,310/106,970.76 = 22,062/x
  3. Step 3: Cross multiply
    71,310x = 106,970.76 × 22,062
  4. Step 4: Simplify right side
    71,310x = 2,359,988,907.12
  5. Step 5: Solve for x
    x = 2,359,988,907.12/71,310
  6. Step 6: Final answer
    x = 33,094.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.