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Finding the Fourth Proportional to 30,913.85, 42,661.88 and 17,484.46

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Solution

The fourth proportional to 30,913.85, 42,661.88 and 17,484.46 is: 24,128.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,913.85 : 42,661.88 = 17,484.46 : x
  2. Step 2: Convert to fraction form
    30,913.85/42,661.88 = 17,484.46/x
  3. Step 3: Cross multiply
    30,913.85x = 42,661.88 × 17,484.46
  4. Step 4: Simplify right side
    30,913.85x = 745,919,934.38
  5. Step 5: Solve for x
    x = 745,919,934.38/30,913.85
  6. Step 6: Final answer
    x = 24,128.99

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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.