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Finding the Fourth Proportional to 30,424.78, 41,938.57 and 27,980.81

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Solution

The fourth proportional to 30,424.78, 41,938.57 and 27,980.81 is: 38,569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,424.78 : 41,938.57 = 27,980.81 : x
  2. Step 2: Convert to fraction form
    30,424.78/41,938.57 = 27,980.81/x
  3. Step 3: Cross multiply
    30,424.78x = 41,938.57 × 27,980.81
  4. Step 4: Simplify right side
    30,424.78x = 1,173,475,158.84
  5. Step 5: Solve for x
    x = 1,173,475,158.84/30,424.78
  6. Step 6: Final answer
    x = 38,569.72

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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.