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Finding the Fourth Proportional to 48,900, 67,482.81 and 26,544

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Solution

The fourth proportional to 48,900, 67,482.81 and 26,544 is: 36,631.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,900 : 67,482.81 = 26,544 : x
  2. Step 2: Convert to fraction form
    48,900/67,482.81 = 26,544/x
  3. Step 3: Cross multiply
    48,900x = 67,482.81 × 26,544
  4. Step 4: Simplify right side
    48,900x = 1,791,263,708.64
  5. Step 5: Solve for x
    x = 1,791,263,708.64/48,900
  6. Step 6: Final answer
    x = 36,631.16

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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.