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Finding the Fourth Proportional to 46,684.32, 64,422.96 and 25,464

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Solution

The fourth proportional to 46,684.32, 64,422.96 and 25,464 is: 35,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,684.32 : 64,422.96 = 25,464 : x
  2. Step 2: Convert to fraction form
    46,684.32/64,422.96 = 25,464/x
  3. Step 3: Cross multiply
    46,684.32x = 64,422.96 × 25,464
  4. Step 4: Simplify right side
    46,684.32x = 1,640,466,253.44
  5. Step 5: Solve for x
    x = 1,640,466,253.44/46,684.32
  6. Step 6: Final answer
    x = 35,139.56

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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.