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Finding the Fourth Proportional to 99,386.70, 149,080.05 and 32,837.10

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Solution

The fourth proportional to 99,386.70, 149,080.05 and 32,837.10 is: 49,255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,386.70 : 149,080.05 = 32,837.10 : x
  2. Step 2: Convert to fraction form
    99,386.70/149,080.05 = 32,837.10/x
  3. Step 3: Cross multiply
    99,386.70x = 149,080.05 × 32,837.10
  4. Step 4: Simplify right side
    99,386.70x = 4,895,356,509.86
  5. Step 5: Solve for x
    x = 4,895,356,509.86/99,386.70
  6. Step 6: Final answer
    x = 49,255.65

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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.