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Finding the Fourth Proportional to 98,377.74, 147,478.94 and 36,033.66

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Solution

The fourth proportional to 98,377.74, 147,478.94 and 36,033.66 is: 54,018.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,377.74 : 147,478.94 = 36,033.66 : x
  2. Step 2: Convert to fraction form
    98,377.74/147,478.94 = 36,033.66/x
  3. Step 3: Cross multiply
    98,377.74x = 147,478.94 × 36,033.66
  4. Step 4: Simplify right side
    98,377.74x = 5,314,205,981.12
  5. Step 5: Solve for x
    x = 5,314,205,981.12/98,377.74
  6. Step 6: Final answer
    x = 54,018.38

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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.