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Finding the Fourth Proportional to 30,758.38, 42,443.53 and 17,332.02

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Solution

The fourth proportional to 30,758.38, 42,443.53 and 17,332.02 is: 23,916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,758.38 : 42,443.53 = 17,332.02 : x
  2. Step 2: Convert to fraction form
    30,758.38/42,443.53 = 17,332.02/x
  3. Step 3: Cross multiply
    30,758.38x = 42,443.53 × 17,332.02
  4. Step 4: Simplify right side
    30,758.38x = 735,632,024.17
  5. Step 5: Solve for x
    x = 735,632,024.17/30,758.38
  6. Step 6: Final answer
    x = 23,916.48

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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.