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Finding the Fourth Proportional to 30,959.52, 46,442.64 and 10,182.96

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Solution

The fourth proportional to 30,959.52, 46,442.64 and 10,182.96 is: 15,275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,959.52 : 46,442.64 = 10,182.96 : x
  2. Step 2: Convert to fraction form
    30,959.52/46,442.64 = 10,182.96/x
  3. Step 3: Cross multiply
    30,959.52x = 46,442.64 × 10,182.96
  4. Step 4: Simplify right side
    30,959.52x = 472,923,545.41
  5. Step 5: Solve for x
    x = 472,923,545.41/30,959.52
  6. Step 6: Final answer
    x = 15,275.55

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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.