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Finding the Fourth Proportional to 46,507.38, 64,182.80 and 25,286.18

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Solution

The fourth proportional to 46,507.38, 64,182.80 and 25,286.18 is: 34,896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,507.38 : 64,182.80 = 25,286.18 : x
  2. Step 2: Convert to fraction form
    46,507.38/64,182.80 = 25,286.18/x
  3. Step 3: Cross multiply
    46,507.38x = 64,182.80 × 25,286.18
  4. Step 4: Simplify right side
    46,507.38x = 1,622,937,833.70
  5. Step 5: Solve for x
    x = 1,622,937,833.70/46,507.38
  6. Step 6: Final answer
    x = 34,896.35

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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.