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Finding the Fourth Proportional to 28,311.12, 42,422.40 and 17,901

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Solution

The fourth proportional to 28,311.12, 42,422.40 and 17,901 is: 26,823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,311.12 : 42,422.40 = 17,901 : x
  2. Step 2: Convert to fraction form
    28,311.12/42,422.40 = 17,901/x
  3. Step 3: Cross multiply
    28,311.12x = 42,422.40 × 17,901
  4. Step 4: Simplify right side
    28,311.12x = 759,403,382.40
  5. Step 5: Solve for x
    x = 759,403,382.40/28,311.12
  6. Step 6: Final answer
    x = 26,823.50

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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.