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Finding the Fourth Proportional to 38,037.42, 52,473.94 and 24,613

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Solution

The fourth proportional to 38,037.42, 52,473.94 and 24,613 is: 33,954.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,037.42 : 52,473.94 = 24,613 : x
  2. Step 2: Convert to fraction form
    38,037.42/52,473.94 = 24,613/x
  3. Step 3: Cross multiply
    38,037.42x = 52,473.94 × 24,613
  4. Step 4: Simplify right side
    38,037.42x = 1,291,541,085.22
  5. Step 5: Solve for x
    x = 1,291,541,085.22/38,037.42
  6. Step 6: Final answer
    x = 33,954.49

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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.