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Finding the Fourth Proportional to 28,182.06, 42,275.49 and 7,405.50

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Solution

The fourth proportional to 28,182.06, 42,275.49 and 7,405.50 is: 11,108.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,182.06 : 42,275.49 = 7,405.50 : x
  2. Step 2: Convert to fraction form
    28,182.06/42,275.49 = 7,405.50/x
  3. Step 3: Cross multiply
    28,182.06x = 42,275.49 × 7,405.50
  4. Step 4: Simplify right side
    28,182.06x = 313,071,141.20
  5. Step 5: Solve for x
    x = 313,071,141.20/28,182.06
  6. Step 6: Final answer
    x = 11,108.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.