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Finding the Fourth Proportional to 48,715.84, 72,646 and 48,272.32

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Solution

The fourth proportional to 48,715.84, 72,646 and 48,272.32 is: 71,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,715.84 : 72,646 = 48,272.32 : x
  2. Step 2: Convert to fraction form
    48,715.84/72,646 = 48,272.32/x
  3. Step 3: Cross multiply
    48,715.84x = 72,646 × 48,272.32
  4. Step 4: Simplify right side
    48,715.84x = 3,506,790,958.72
  5. Step 5: Solve for x
    x = 3,506,790,958.72/48,715.84
  6. Step 6: Final answer
    x = 71,984.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.