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Finding the Fourth Proportional to 35,742, 53,613 and 24,486.24

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Solution

The fourth proportional to 35,742, 53,613 and 24,486.24 is: 36,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,742 : 53,613 = 24,486.24 : x
  2. Step 2: Convert to fraction form
    35,742/53,613 = 24,486.24/x
  3. Step 3: Cross multiply
    35,742x = 53,613 × 24,486.24
  4. Step 4: Simplify right side
    35,742x = 1,312,780,785.12
  5. Step 5: Solve for x
    x = 1,312,780,785.12/35,742
  6. Step 6: Final answer
    x = 36,729.36

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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.