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Finding the Fourth Proportional to 57,643.76, 86,467.80 and 26,047.76

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Solution

The fourth proportional to 57,643.76, 86,467.80 and 26,047.76 is: 39,072.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,643.76 : 86,467.80 = 26,047.76 : x
  2. Step 2: Convert to fraction form
    57,643.76/86,467.80 = 26,047.76/x
  3. Step 3: Cross multiply
    57,643.76x = 86,467.80 × 26,047.76
  4. Step 4: Simplify right side
    57,643.76x = 2,252,292,502.13
  5. Step 5: Solve for x
    x = 2,252,292,502.13/57,643.76
  6. Step 6: Final answer
    x = 39,072.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.