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Finding the Fourth Proportional to 30,897.71, 42,597.60 and 24,545.39

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Solution

The fourth proportional to 30,897.71, 42,597.60 and 24,545.39 is: 33,839.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.71 : 42,597.60 = 24,545.39 : x
  2. Step 2: Convert to fraction form
    30,897.71/42,597.60 = 24,545.39/x
  3. Step 3: Cross multiply
    30,897.71x = 42,597.60 × 24,545.39
  4. Step 4: Simplify right side
    30,897.71x = 1,045,574,400.03
  5. Step 5: Solve for x
    x = 1,045,574,400.03/30,897.71
  6. Step 6: Final answer
    x = 33,839.87

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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.