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Finding the Fourth Proportional to 71,059.26, 106,526.16 and 28,974.55

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Solution

The fourth proportional to 71,059.26, 106,526.16 and 28,974.55 is: 43,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,059.26 : 106,526.16 = 28,974.55 : x
  2. Step 2: Convert to fraction form
    71,059.26/106,526.16 = 28,974.55/x
  3. Step 3: Cross multiply
    71,059.26x = 106,526.16 × 28,974.55
  4. Step 4: Simplify right side
    71,059.26x = 3,086,547,549.23
  5. Step 5: Solve for x
    x = 3,086,547,549.23/71,059.26
  6. Step 6: Final answer
    x = 43,436.25

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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.