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Finding the Fourth Proportional to 98,281.69, 147,453.72 and 35,100.47

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Solution

The fourth proportional to 98,281.69, 147,453.72 and 35,100.47 is: 52,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,281.69 : 147,453.72 = 35,100.47 : x
  2. Step 2: Convert to fraction form
    98,281.69/147,453.72 = 35,100.47/x
  3. Step 3: Cross multiply
    98,281.69x = 147,453.72 × 35,100.47
  4. Step 4: Simplify right side
    98,281.69x = 5,175,695,112.26
  5. Step 5: Solve for x
    x = 5,175,695,112.26/98,281.69
  6. Step 6: Final answer
    x = 52,661.85

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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.