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Finding the Fourth Proportional to 98,588.87, 147,820.14 and 41,647.31

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Solution

The fourth proportional to 98,588.87, 147,820.14 and 41,647.31 is: 62,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,588.87 : 147,820.14 = 41,647.31 : x
  2. Step 2: Convert to fraction form
    98,588.87/147,820.14 = 41,647.31/x
  3. Step 3: Cross multiply
    98,588.87x = 147,820.14 × 41,647.31
  4. Step 4: Simplify right side
    98,588.87x = 6,156,311,194.82
  5. Step 5: Solve for x
    x = 6,156,311,194.82/98,588.87
  6. Step 6: Final answer
    x = 62,444.28

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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.