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Finding the Fourth Proportional to 47,645.90, 65,755.38 and 26,432

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Solution

The fourth proportional to 47,645.90, 65,755.38 and 26,432 is: 36,478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,645.90 : 65,755.38 = 26,432 : x
  2. Step 2: Convert to fraction form
    47,645.90/65,755.38 = 26,432/x
  3. Step 3: Cross multiply
    47,645.90x = 65,755.38 × 26,432
  4. Step 4: Simplify right side
    47,645.90x = 1,738,046,204.16
  5. Step 5: Solve for x
    x = 1,738,046,204.16/47,645.90
  6. Step 6: Final answer
    x = 36,478.40

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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.