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Finding the Fourth Proportional to 47,810.49, 65,978.87 and 26,589.30

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Solution

The fourth proportional to 47,810.49, 65,978.87 and 26,589.30 is: 36,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,810.49 : 65,978.87 = 26,589.30 : x
  2. Step 2: Convert to fraction form
    47,810.49/65,978.87 = 26,589.30/x
  3. Step 3: Cross multiply
    47,810.49x = 65,978.87 × 26,589.30
  4. Step 4: Simplify right side
    47,810.49x = 1,754,331,835.14
  5. Step 5: Solve for x
    x = 1,754,331,835.14/47,810.49
  6. Step 6: Final answer
    x = 36,693.45

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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.