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Finding the Fourth Proportional to 30,959.64, 46,446.18 and 10,182.36

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Solution

The fourth proportional to 30,959.64, 46,446.18 and 10,182.36 is: 15,275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,959.64 : 46,446.18 = 10,182.36 : x
  2. Step 2: Convert to fraction form
    30,959.64/46,446.18 = 10,182.36/x
  3. Step 3: Cross multiply
    30,959.64x = 46,446.18 × 10,182.36
  4. Step 4: Simplify right side
    30,959.64x = 472,931,725.38
  5. Step 5: Solve for x
    x = 472,931,725.38/30,959.64
  6. Step 6: Final answer
    x = 15,275.75

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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.