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Finding the Fourth Proportional to 64,948.50, 97,141.31 and 38,230.82

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Solution

The fourth proportional to 64,948.50, 97,141.31 and 38,230.82 is: 57,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,948.50 : 97,141.31 = 38,230.82 : x
  2. Step 2: Convert to fraction form
    64,948.50/97,141.31 = 38,230.82/x
  3. Step 3: Cross multiply
    64,948.50x = 97,141.31 × 38,230.82
  4. Step 4: Simplify right side
    64,948.50x = 3,713,791,767.96
  5. Step 5: Solve for x
    x = 3,713,791,767.96/64,948.50
  6. Step 6: Final answer
    x = 57,180.56

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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.