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Finding the Fourth Proportional to 57,154.34, 78,875.62 and 32,003.84

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Solution

The fourth proportional to 57,154.34, 78,875.62 and 32,003.84 is: 44,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,154.34 : 78,875.62 = 32,003.84 : x
  2. Step 2: Convert to fraction form
    57,154.34/78,875.62 = 32,003.84/x
  3. Step 3: Cross multiply
    57,154.34x = 78,875.62 × 32,003.84
  4. Step 4: Simplify right side
    57,154.34x = 2,524,322,722.38
  5. Step 5: Solve for x
    x = 2,524,322,722.38/57,154.34
  6. Step 6: Final answer
    x = 44,166.77

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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.