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Finding the Fourth Proportional to 57,678.54, 86,529.34 and 24,398.46

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Solution

The fourth proportional to 57,678.54, 86,529.34 and 24,398.46 is: 36,602.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,678.54 : 86,529.34 = 24,398.46 : x
  2. Step 2: Convert to fraction form
    57,678.54/86,529.34 = 24,398.46/x
  3. Step 3: Cross multiply
    57,678.54x = 86,529.34 × 24,398.46
  4. Step 4: Simplify right side
    57,678.54x = 2,111,182,640.82
  5. Step 5: Solve for x
    x = 2,111,182,640.82/57,678.54
  6. Step 6: Final answer
    x = 36,602.57

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