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Finding the Fourth Proportional to 57,583.84, 86,346.24 and 26,392

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Solution

The fourth proportional to 57,583.84, 86,346.24 and 26,392 is: 39,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,583.84 : 86,346.24 = 26,392 : x
  2. Step 2: Convert to fraction form
    57,583.84/86,346.24 = 26,392/x
  3. Step 3: Cross multiply
    57,583.84x = 86,346.24 × 26,392
  4. Step 4: Simplify right side
    57,583.84x = 2,278,849,966.08
  5. Step 5: Solve for x
    x = 2,278,849,966.08/57,583.84
  6. Step 6: Final answer
    x = 39,574.47

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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.