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Finding the Fourth Proportional to 105,314.87, 158,034.73 and 38,801.67

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Solution

The fourth proportional to 105,314.87, 158,034.73 and 38,801.67 is: 58,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,314.87 : 158,034.73 = 38,801.67 : x
  2. Step 2: Convert to fraction form
    105,314.87/158,034.73 = 38,801.67/x
  3. Step 3: Cross multiply
    105,314.87x = 158,034.73 × 38,801.67
  4. Step 4: Simplify right side
    105,314.87x = 6,132,011,442.00
  5. Step 5: Solve for x
    x = 6,132,011,442.00/105,314.87
  6. Step 6: Final answer
    x = 58,225.50

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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.