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Finding the Fourth Proportional to 69,702.08, 96,188.87 and 41,407.77

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Solution

The fourth proportional to 69,702.08, 96,188.87 and 41,407.77 is: 57,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,702.08 : 96,188.87 = 41,407.77 : x
  2. Step 2: Convert to fraction form
    69,702.08/96,188.87 = 41,407.77/x
  3. Step 3: Cross multiply
    69,702.08x = 96,188.87 × 41,407.77
  4. Step 4: Simplify right side
    69,702.08x = 3,982,966,693.07
  5. Step 5: Solve for x
    x = 3,982,966,693.07/69,702.08
  6. Step 6: Final answer
    x = 57,142.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.