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Finding the Fourth Proportional to 74,884.32, 112,229.52 and 30,459.12

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Solution

The fourth proportional to 74,884.32, 112,229.52 and 30,459.12 is: 45,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,884.32 : 112,229.52 = 30,459.12 : x
  2. Step 2: Convert to fraction form
    74,884.32/112,229.52 = 30,459.12/x
  3. Step 3: Cross multiply
    74,884.32x = 112,229.52 × 30,459.12
  4. Step 4: Simplify right side
    74,884.32x = 3,418,412,417.22
  5. Step 5: Solve for x
    x = 3,418,412,417.22/74,884.32
  6. Step 6: Final answer
    x = 45,649.24

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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.