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Finding the Fourth Proportional to 107,478.54, 161,218.19 and 32,599.34

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Solution

The fourth proportional to 107,478.54, 161,218.19 and 32,599.34 is: 48,899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,478.54 : 161,218.19 = 32,599.34 : x
  2. Step 2: Convert to fraction form
    107,478.54/161,218.19 = 32,599.34/x
  3. Step 3: Cross multiply
    107,478.54x = 161,218.19 × 32,599.34
  4. Step 4: Simplify right side
    107,478.54x = 5,255,605,865.40
  5. Step 5: Solve for x
    x = 5,255,605,865.40/107,478.54
  6. Step 6: Final answer
    x = 48,899.12

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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.