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Finding the Fourth Proportional to 109,428.16, 164,142.24 and 26,322.16

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Solution

The fourth proportional to 109,428.16, 164,142.24 and 26,322.16 is: 39,483.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,428.16 : 164,142.24 = 26,322.16 : x
  2. Step 2: Convert to fraction form
    109,428.16/164,142.24 = 26,322.16/x
  3. Step 3: Cross multiply
    109,428.16x = 164,142.24 × 26,322.16
  4. Step 4: Simplify right side
    109,428.16x = 4,320,578,304.04
  5. Step 5: Solve for x
    x = 4,320,578,304.04/109,428.16
  6. Step 6: Final answer
    x = 39,483.24

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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.