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Finding the Fourth Proportional to 47,708.80, 65,839.84 and 26,488.40

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Solution

The fourth proportional to 47,708.80, 65,839.84 and 26,488.40 is: 36,554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,708.80 : 65,839.84 = 26,488.40 : x
  2. Step 2: Convert to fraction form
    47,708.80/65,839.84 = 26,488.40/x
  3. Step 3: Cross multiply
    47,708.80x = 65,839.84 × 26,488.40
  4. Step 4: Simplify right side
    47,708.80x = 1,743,992,017.86
  5. Step 5: Solve for x
    x = 1,743,992,017.86/47,708.80
  6. Step 6: Final answer
    x = 36,554.93

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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.