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Finding the Fourth Proportional to 47,574.57, 65,648.12 and 26,349.87

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Solution

The fourth proportional to 47,574.57, 65,648.12 and 26,349.87 is: 36,360.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,574.57 : 65,648.12 = 26,349.87 : x
  2. Step 2: Convert to fraction form
    47,574.57/65,648.12 = 26,349.87/x
  3. Step 3: Cross multiply
    47,574.57x = 65,648.12 × 26,349.87
  4. Step 4: Simplify right side
    47,574.57x = 1,729,819,427.74
  5. Step 5: Solve for x
    x = 1,729,819,427.74/47,574.57
  6. Step 6: Final answer
    x = 36,360.17

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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.