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Finding the Fourth Proportional to 47,810.24, 65,978.52 and 26,589.05

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Solution

The fourth proportional to 47,810.24, 65,978.52 and 26,589.05 is: 36,693.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,810.24 : 65,978.52 = 26,589.05 : x
  2. Step 2: Convert to fraction form
    47,810.24/65,978.52 = 26,589.05/x
  3. Step 3: Cross multiply
    47,810.24x = 65,978.52 × 26,589.05
  4. Step 4: Simplify right side
    47,810.24x = 1,754,306,167.21
  5. Step 5: Solve for x
    x = 1,754,306,167.21/47,810.24
  6. Step 6: Final answer
    x = 36,693.11

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1.5x scale

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.