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Finding the Fourth Proportional to 47,294.88, 65,264.32 and 26,070.48

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Solution

The fourth proportional to 47,294.88, 65,264.32 and 26,070.48 is: 35,975.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,294.88 : 65,264.32 = 26,070.48 : x
  2. Step 2: Convert to fraction form
    47,294.88/65,264.32 = 26,070.48/x
  3. Step 3: Cross multiply
    47,294.88x = 65,264.32 × 26,070.48
  4. Step 4: Simplify right side
    47,294.88x = 1,701,472,149.27
  5. Step 5: Solve for x
    x = 1,701,472,149.27/47,294.88
  6. Step 6: Final answer
    x = 35,975.82

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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.