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Finding the Fourth Proportional to 32,534.32, 44,892.38 and 18,382

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Solution

The fourth proportional to 32,534.32, 44,892.38 and 18,382 is: 25,364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,534.32 : 44,892.38 = 18,382 : x
  2. Step 2: Convert to fraction form
    32,534.32/44,892.38 = 18,382/x
  3. Step 3: Cross multiply
    32,534.32x = 44,892.38 × 18,382
  4. Step 4: Simplify right side
    32,534.32x = 825,211,729.16
  5. Step 5: Solve for x
    x = 825,211,729.16/32,534.32
  6. Step 6: Final answer
    x = 25,364.35

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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.