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Finding the Fourth Proportional to 53,496.32, 80,127.84 and 25,736

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Solution

The fourth proportional to 53,496.32, 80,127.84 and 25,736 is: 38,547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,496.32 : 80,127.84 = 25,736 : x
  2. Step 2: Convert to fraction form
    53,496.32/80,127.84 = 25,736/x
  3. Step 3: Cross multiply
    53,496.32x = 80,127.84 × 25,736
  4. Step 4: Simplify right side
    53,496.32x = 2,062,170,090.24
  5. Step 5: Solve for x
    x = 2,062,170,090.24/53,496.32
  6. Step 6: Final answer
    x = 38,547.89

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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.