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Finding the Fourth Proportional to 57,441.34, 86,162.01 and 34,055.02

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Solution

The fourth proportional to 57,441.34, 86,162.01 and 34,055.02 is: 51,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,441.34 : 86,162.01 = 34,055.02 : x
  2. Step 2: Convert to fraction form
    57,441.34/86,162.01 = 34,055.02/x
  3. Step 3: Cross multiply
    57,441.34x = 86,162.01 × 34,055.02
  4. Step 4: Simplify right side
    57,441.34x = 2,934,248,973.79
  5. Step 5: Solve for x
    x = 2,934,248,973.79/57,441.34
  6. Step 6: Final answer
    x = 51,082.53

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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.