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Finding the Fourth Proportional to 40,702.31, 61,004.25 and 20,970.10

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Solution

The fourth proportional to 40,702.31, 61,004.25 and 20,970.10 is: 31,429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,702.31 : 61,004.25 = 20,970.10 : x
  2. Step 2: Convert to fraction form
    40,702.31/61,004.25 = 20,970.10/x
  3. Step 3: Cross multiply
    40,702.31x = 61,004.25 × 20,970.10
  4. Step 4: Simplify right side
    40,702.31x = 1,279,265,222.93
  5. Step 5: Solve for x
    x = 1,279,265,222.93/40,702.31
  6. Step 6: Final answer
    x = 31,429.79

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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.