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Finding the Fourth Proportional to 98,649.69, 147,975.91 and 32,090.17

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Solution

The fourth proportional to 98,649.69, 147,975.91 and 32,090.17 is: 48,135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,649.69 : 147,975.91 = 32,090.17 : x
  2. Step 2: Convert to fraction form
    98,649.69/147,975.91 = 32,090.17/x
  3. Step 3: Cross multiply
    98,649.69x = 147,975.91 × 32,090.17
  4. Step 4: Simplify right side
    98,649.69x = 4,748,571,947.35
  5. Step 5: Solve for x
    x = 4,748,571,947.35/98,649.69
  6. Step 6: Final answer
    x = 48,135.70

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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.