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Finding the Fourth Proportional to 62,834.24, 86,710.02 and 34,540.40

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Solution

The fourth proportional to 62,834.24, 86,710.02 and 34,540.40 is: 47,665.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,834.24 : 86,710.02 = 34,540.40 : x
  2. Step 2: Convert to fraction form
    62,834.24/86,710.02 = 34,540.40/x
  3. Step 3: Cross multiply
    62,834.24x = 86,710.02 × 34,540.40
  4. Step 4: Simplify right side
    62,834.24x = 2,994,998,774.81
  5. Step 5: Solve for x
    x = 2,994,998,774.81/62,834.24
  6. Step 6: Final answer
    x = 47,665.08

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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.