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Finding the Fourth Proportional to 56,865, 85,304.52 and 25,275

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Solution

The fourth proportional to 56,865, 85,304.52 and 25,275 is: 37,915.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,865 : 85,304.52 = 25,275 : x
  2. Step 2: Convert to fraction form
    56,865/85,304.52 = 25,275/x
  3. Step 3: Cross multiply
    56,865x = 85,304.52 × 25,275
  4. Step 4: Simplify right side
    56,865x = 2,156,071,743
  5. Step 5: Solve for x
    x = 2,156,071,743/56,865
  6. Step 6: Final answer
    x = 37,915.62

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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.