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Finding the Fourth Proportional to 35,701.48, 49,248.03 and 24,367.38

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Solution

The fourth proportional to 35,701.48, 49,248.03 and 24,367.38 is: 33,613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,701.48 : 49,248.03 = 24,367.38 : x
  2. Step 2: Convert to fraction form
    35,701.48/49,248.03 = 24,367.38/x
  3. Step 3: Cross multiply
    35,701.48x = 49,248.03 × 24,367.38
  4. Step 4: Simplify right side
    35,701.48x = 1,200,045,461.26
  5. Step 5: Solve for x
    x = 1,200,045,461.26/35,701.48
  6. Step 6: Final answer
    x = 33,613.33

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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.