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Finding the Fourth Proportional to 98,510.74, 147,780.70 and 36,176.38

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Solution

The fourth proportional to 98,510.74, 147,780.70 and 36,176.38 is: 54,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,510.74 : 147,780.70 = 36,176.38 : x
  2. Step 2: Convert to fraction form
    98,510.74/147,780.70 = 36,176.38/x
  3. Step 3: Cross multiply
    98,510.74x = 147,780.70 × 36,176.38
  4. Step 4: Simplify right side
    98,510.74x = 5,346,170,759.87
  5. Step 5: Solve for x
    x = 5,346,170,759.87/98,510.74
  6. Step 6: Final answer
    x = 54,269.93

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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.