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Finding the Fourth Proportional to 74,884.64, 112,249.20 and 30,492.32

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Solution

The fourth proportional to 74,884.64, 112,249.20 and 30,492.32 is: 45,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,884.64 : 112,249.20 = 30,492.32 : x
  2. Step 2: Convert to fraction form
    74,884.64/112,249.20 = 30,492.32/x
  3. Step 3: Cross multiply
    74,884.64x = 112,249.20 × 30,492.32
  4. Step 4: Simplify right side
    74,884.64x = 3,422,738,526.14
  5. Step 5: Solve for x
    x = 3,422,738,526.14/74,884.64
  6. Step 6: Final answer
    x = 45,706.82

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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.