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Finding the Fourth Proportional to 86,196.47, 129,276 and 27,024.35

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Solution

The fourth proportional to 86,196.47, 129,276 and 27,024.35 is: 40,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,196.47 : 129,276 = 27,024.35 : x
  2. Step 2: Convert to fraction form
    86,196.47/129,276 = 27,024.35/x
  3. Step 3: Cross multiply
    86,196.47x = 129,276 × 27,024.35
  4. Step 4: Simplify right side
    86,196.47x = 3,493,599,224.22
  5. Step 5: Solve for x
    x = 3,493,599,224.22/86,196.47
  6. Step 6: Final answer
    x = 40,530.66

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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.