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Finding the Fourth Proportional to 45,832, 63,248.16 and 25,960

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Solution

The fourth proportional to 45,832, 63,248.16 and 25,960 is: 35,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,832 : 63,248.16 = 25,960 : x
  2. Step 2: Convert to fraction form
    45,832/63,248.16 = 25,960/x
  3. Step 3: Cross multiply
    45,832x = 63,248.16 × 25,960
  4. Step 4: Simplify right side
    45,832x = 1,641,922,233.60
  5. Step 5: Solve for x
    x = 1,641,922,233.60/45,832
  6. Step 6: Final answer
    x = 35,824.80

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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.