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Finding the Fourth Proportional to 105,834.30, 158,710.08 and 38,350.32

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Solution

The fourth proportional to 105,834.30, 158,710.08 and 38,350.32 is: 57,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,834.30 : 158,710.08 = 38,350.32 : x
  2. Step 2: Convert to fraction form
    105,834.30/158,710.08 = 38,350.32/x
  3. Step 3: Cross multiply
    105,834.30x = 158,710.08 × 38,350.32
  4. Step 4: Simplify right side
    105,834.30x = 6,086,582,355.23
  5. Step 5: Solve for x
    x = 6,086,582,355.23/105,834.30
  6. Step 6: Final answer
    x = 57,510.49

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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.