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Finding the Fourth Proportional to 65,954, 98,959.80 and 24,389.84

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Solution

The fourth proportional to 65,954, 98,959.80 and 24,389.84 is: 36,595.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,954 : 98,959.80 = 24,389.84 : x
  2. Step 2: Convert to fraction form
    65,954/98,959.80 = 24,389.84/x
  3. Step 3: Cross multiply
    65,954x = 98,959.80 × 24,389.84
  4. Step 4: Simplify right side
    65,954x = 2,413,613,688.43
  5. Step 5: Solve for x
    x = 2,413,613,688.43/65,954
  6. Step 6: Final answer
    x = 36,595.41

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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.