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Finding the Fourth Proportional to 53,748, 80,613.36 and 38,118.24

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Solution

The fourth proportional to 53,748, 80,613.36 and 38,118.24 is: 57,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,748 : 80,613.36 = 38,118.24 : x
  2. Step 2: Convert to fraction form
    53,748/80,613.36 = 38,118.24/x
  3. Step 3: Cross multiply
    53,748x = 80,613.36 × 38,118.24
  4. Step 4: Simplify right side
    53,748x = 3,072,839,403.69
  5. Step 5: Solve for x
    x = 3,072,839,403.69/53,748
  6. Step 6: Final answer
    x = 57,171.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.