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Finding the Fourth Proportional to 50,648.16, 69,894.08 and 27,988.68

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Solution

The fourth proportional to 50,648.16, 69,894.08 and 27,988.68 is: 38,624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,648.16 : 69,894.08 = 27,988.68 : x
  2. Step 2: Convert to fraction form
    50,648.16/69,894.08 = 27,988.68/x
  3. Step 3: Cross multiply
    50,648.16x = 69,894.08 × 27,988.68
  4. Step 4: Simplify right side
    50,648.16x = 1,956,243,039.01
  5. Step 5: Solve for x
    x = 1,956,243,039.01/50,648.16
  6. Step 6: Final answer
    x = 38,624.17

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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.