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Finding the Fourth Proportional to 60,202.32, 83,078.29 and 32,978.19

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Solution

The fourth proportional to 60,202.32, 83,078.29 and 32,978.19 is: 45,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,202.32 : 83,078.29 = 32,978.19 : x
  2. Step 2: Convert to fraction form
    60,202.32/83,078.29 = 32,978.19/x
  3. Step 3: Cross multiply
    60,202.32x = 83,078.29 × 32,978.19
  4. Step 4: Simplify right side
    60,202.32x = 2,739,771,052.21
  5. Step 5: Solve for x
    x = 2,739,771,052.21/60,202.32
  6. Step 6: Final answer
    x = 45,509.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.