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Finding the Fourth Proportional to 57,655.84, 86,454.24 and 26,464

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Solution

The fourth proportional to 57,655.84, 86,454.24 and 26,464 is: 39,682.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,655.84 : 86,454.24 = 26,464 : x
  2. Step 2: Convert to fraction form
    57,655.84/86,454.24 = 26,464/x
  3. Step 3: Cross multiply
    57,655.84x = 86,454.24 × 26,464
  4. Step 4: Simplify right side
    57,655.84x = 2,287,925,007.36
  5. Step 5: Solve for x
    x = 2,287,925,007.36/57,655.84
  6. Step 6: Final answer
    x = 39,682.45

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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.