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Finding the Fourth Proportional to 48,928, 67,536 and 31,264

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Solution

The fourth proportional to 48,928, 67,536 and 31,264 is: 43,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,928 : 67,536 = 31,264 : x
  2. Step 2: Convert to fraction form
    48,928/67,536 = 31,264/x
  3. Step 3: Cross multiply
    48,928x = 67,536 × 31,264
  4. Step 4: Simplify right side
    48,928x = 2,111,445,504
  5. Step 5: Solve for x
    x = 2,111,445,504/48,928
  6. Step 6: Final answer
    x = 43,154.13

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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.