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Finding the Fourth Proportional to 47,266.46, 65,223.25 and 27,882.35

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Solution

The fourth proportional to 47,266.46, 65,223.25 and 27,882.35 is: 38,475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,266.46 : 65,223.25 = 27,882.35 : x
  2. Step 2: Convert to fraction form
    47,266.46/65,223.25 = 27,882.35/x
  3. Step 3: Cross multiply
    47,266.46x = 65,223.25 × 27,882.35
  4. Step 4: Simplify right side
    47,266.46x = 1,818,577,484.64
  5. Step 5: Solve for x
    x = 1,818,577,484.64/47,266.46
  6. Step 6: Final answer
    x = 38,475.01

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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.