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Finding the Fourth Proportional to 35,483.64, 48,987.12 and 25,914

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Solution

The fourth proportional to 35,483.64, 48,987.12 and 25,914 is: 35,775.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,483.64 : 48,987.12 = 25,914 : x
  2. Step 2: Convert to fraction form
    35,483.64/48,987.12 = 25,914/x
  3. Step 3: Cross multiply
    35,483.64x = 48,987.12 × 25,914
  4. Step 4: Simplify right side
    35,483.64x = 1,269,452,227.68
  5. Step 5: Solve for x
    x = 1,269,452,227.68/35,483.64
  6. Step 6: Final answer
    x = 35,775.70

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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.