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Finding the Fourth Proportional to 30,424.16, 41,937.71 and 27,980.19

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Solution

The fourth proportional to 30,424.16, 41,937.71 and 27,980.19 is: 38,568.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,424.16 : 41,937.71 = 27,980.19 : x
  2. Step 2: Convert to fraction form
    30,424.16/41,937.71 = 27,980.19/x
  3. Step 3: Cross multiply
    30,424.16x = 41,937.71 × 27,980.19
  4. Step 4: Simplify right side
    30,424.16x = 1,173,424,954.06
  5. Step 5: Solve for x
    x = 1,173,424,954.06/30,424.16
  6. Step 6: Final answer
    x = 38,568.86

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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.