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Finding the Fourth Proportional to 74,382, 111,580.08 and 24,462.51

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Solution

The fourth proportional to 74,382, 111,580.08 and 24,462.51 is: 36,696.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,382 : 111,580.08 = 24,462.51 : x
  2. Step 2: Convert to fraction form
    74,382/111,580.08 = 24,462.51/x
  3. Step 3: Cross multiply
    74,382x = 111,580.08 × 24,462.51
  4. Step 4: Simplify right side
    74,382x = 2,729,528,822.80
  5. Step 5: Solve for x
    x = 2,729,528,822.80/74,382
  6. Step 6: Final answer
    x = 36,696.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.