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Finding the Fourth Proportional to 42,065.29, 58,049.08 and 23,202.01

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Solution

The fourth proportional to 42,065.29, 58,049.08 and 23,202.01 is: 32,018.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,065.29 : 58,049.08 = 23,202.01 : x
  2. Step 2: Convert to fraction form
    42,065.29/58,049.08 = 23,202.01/x
  3. Step 3: Cross multiply
    42,065.29x = 58,049.08 × 23,202.01
  4. Step 4: Simplify right side
    42,065.29x = 1,346,855,334.65
  5. Step 5: Solve for x
    x = 1,346,855,334.65/42,065.29
  6. Step 6: Final answer
    x = 32,018.21

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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.