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Finding the Fourth Proportional to 47,810.88, 65,978.08 and 26,589.69

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Solution

The fourth proportional to 47,810.88, 65,978.08 and 26,589.69 is: 36,693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,810.88 : 65,978.08 = 26,589.69 : x
  2. Step 2: Convert to fraction form
    47,810.88/65,978.08 = 26,589.69/x
  3. Step 3: Cross multiply
    47,810.88x = 65,978.08 × 26,589.69
  4. Step 4: Simplify right side
    47,810.88x = 1,754,336,627.52
  5. Step 5: Solve for x
    x = 1,754,336,627.52/47,810.88
  6. Step 6: Final answer
    x = 36,693.25

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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.