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Finding the Fourth Proportional to 47,641.40, 65,749.17 and 26,427.50

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Solution

The fourth proportional to 47,641.40, 65,749.17 and 26,427.50 is: 36,472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,641.40 : 65,749.17 = 26,427.50 : x
  2. Step 2: Convert to fraction form
    47,641.40/65,749.17 = 26,427.50/x
  3. Step 3: Cross multiply
    47,641.40x = 65,749.17 × 26,427.50
  4. Step 4: Simplify right side
    47,641.40x = 1,737,586,190.18
  5. Step 5: Solve for x
    x = 1,737,586,190.18/47,641.40
  6. Step 6: Final answer
    x = 36,472.19

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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.