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Finding the Fourth Proportional to 57,095.34, 85,591.17 and 32,419.50

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Solution

The fourth proportional to 57,095.34, 85,591.17 and 32,419.50 is: 48,599.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,095.34 : 85,591.17 = 32,419.50 : x
  2. Step 2: Convert to fraction form
    57,095.34/85,591.17 = 32,419.50/x
  3. Step 3: Cross multiply
    57,095.34x = 85,591.17 × 32,419.50
  4. Step 4: Simplify right side
    57,095.34x = 2,774,822,935.82
  5. Step 5: Solve for x
    x = 2,774,822,935.82/57,095.34
  6. Step 6: Final answer
    x = 48,599.81

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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.