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Finding the Fourth Proportional to 46,671.32, 64,405.02 and 25,451

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Solution

The fourth proportional to 46,671.32, 64,405.02 and 25,451 is: 35,121.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,671.32 : 64,405.02 = 25,451 : x
  2. Step 2: Convert to fraction form
    46,671.32/64,405.02 = 25,451/x
  3. Step 3: Cross multiply
    46,671.32x = 64,405.02 × 25,451
  4. Step 4: Simplify right side
    46,671.32x = 1,639,172,164.02
  5. Step 5: Solve for x
    x = 1,639,172,164.02/46,671.32
  6. Step 6: Final answer
    x = 35,121.62

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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.