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Finding the Fourth Proportional to 46,653.60, 64,382 and 25,432.88

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Solution

The fourth proportional to 46,653.60, 64,382 and 25,432.88 is: 35,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,653.60 : 64,382 = 25,432.88 : x
  2. Step 2: Convert to fraction form
    46,653.60/64,382 = 25,432.88/x
  3. Step 3: Cross multiply
    46,653.60x = 64,382 × 25,432.88
  4. Step 4: Simplify right side
    46,653.60x = 1,637,419,680.16
  5. Step 5: Solve for x
    x = 1,637,419,680.16/46,653.60
  6. Step 6: Final answer
    x = 35,097.39

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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.