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Finding the Fourth Proportional to 47,715.24, 65,849.04 and 26,496.48

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Solution

The fourth proportional to 47,715.24, 65,849.04 and 26,496.48 is: 36,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,715.24 : 65,849.04 = 26,496.48 : x
  2. Step 2: Convert to fraction form
    47,715.24/65,849.04 = 26,496.48/x
  3. Step 3: Cross multiply
    47,715.24x = 65,849.04 × 26,496.48
  4. Step 4: Simplify right side
    47,715.24x = 1,744,767,771.38
  5. Step 5: Solve for x
    x = 1,744,767,771.38/47,715.24
  6. Step 6: Final answer
    x = 36,566.26

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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.