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Finding the Fourth Proportional to 29,692, 40,981.20 and 27,298.18

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Solution

The fourth proportional to 29,692, 40,981.20 and 27,298.18 is: 37,677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,692 : 40,981.20 = 27,298.18 : x
  2. Step 2: Convert to fraction form
    29,692/40,981.20 = 27,298.18/x
  3. Step 3: Cross multiply
    29,692x = 40,981.20 × 27,298.18
  4. Step 4: Simplify right side
    29,692x = 1,118,712,174.22
  5. Step 5: Solve for x
    x = 1,118,712,174.22/29,692
  6. Step 6: Final answer
    x = 37,677.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.