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Finding the Fourth Proportional to 29,557, 40,788.66 and 20,141.97

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Solution

The fourth proportional to 29,557, 40,788.66 and 20,141.97 is: 27,795.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,557 : 40,788.66 = 20,141.97 : x
  2. Step 2: Convert to fraction form
    29,557/40,788.66 = 20,141.97/x
  3. Step 3: Cross multiply
    29,557x = 40,788.66 × 20,141.97
  4. Step 4: Simplify right side
    29,557x = 821,563,966.06
  5. Step 5: Solve for x
    x = 821,563,966.06/29,557
  6. Step 6: Final answer
    x = 27,795.92

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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.