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Finding the Fourth Proportional to 32,074.20, 44,201.16 and 27,875.16

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Solution

The fourth proportional to 32,074.20, 44,201.16 and 27,875.16 is: 38,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,074.20 : 44,201.16 = 27,875.16 : x
  2. Step 2: Convert to fraction form
    32,074.20/44,201.16 = 27,875.16/x
  3. Step 3: Cross multiply
    32,074.20x = 44,201.16 × 27,875.16
  4. Step 4: Simplify right side
    32,074.20x = 1,232,114,407.19
  5. Step 5: Solve for x
    x = 1,232,114,407.19/32,074.20
  6. Step 6: Final answer
    x = 38,414.50

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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.