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Finding the Fourth Proportional to 47,754.63, 65,902.28 and 26,535.87

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Solution

The fourth proportional to 47,754.63, 65,902.28 and 26,535.87 is: 36,619.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,754.63 : 65,902.28 = 26,535.87 : x
  2. Step 2: Convert to fraction form
    47,754.63/65,902.28 = 26,535.87/x
  3. Step 3: Cross multiply
    47,754.63x = 65,902.28 × 26,535.87
  4. Step 4: Simplify right side
    47,754.63x = 1,748,774,202.10
  5. Step 5: Solve for x
    x = 1,748,774,202.10/47,754.63
  6. Step 6: Final answer
    x = 36,619.99

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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.