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Finding the Fourth Proportional to 62,814, 94,264.20 and 25,878

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Solution

The fourth proportional to 62,814, 94,264.20 and 25,878 is: 38,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,814 : 94,264.20 = 25,878 : x
  2. Step 2: Convert to fraction form
    62,814/94,264.20 = 25,878/x
  3. Step 3: Cross multiply
    62,814x = 94,264.20 × 25,878
  4. Step 4: Simplify right side
    62,814x = 2,439,368,967.60
  5. Step 5: Solve for x
    x = 2,439,368,967.60/62,814
  6. Step 6: Final answer
    x = 38,834.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.