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Finding the Fourth Proportional to 51,966.52, 77,837 and 31,915.16

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Solution

The fourth proportional to 51,966.52, 77,837 and 31,915.16 is: 47,803.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,966.52 : 77,837 = 31,915.16 : x
  2. Step 2: Convert to fraction form
    51,966.52/77,837 = 31,915.16/x
  3. Step 3: Cross multiply
    51,966.52x = 77,837 × 31,915.16
  4. Step 4: Simplify right side
    51,966.52x = 2,484,180,308.92
  5. Step 5: Solve for x
    x = 2,484,180,308.92/51,966.52
  6. Step 6: Final answer
    x = 47,803.48

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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.