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Finding the Fourth Proportional to 42,182, 58,206.12 and 23,316.56

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Solution

The fourth proportional to 42,182, 58,206.12 and 23,316.56 is: 32,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,182 : 58,206.12 = 23,316.56 : x
  2. Step 2: Convert to fraction form
    42,182/58,206.12 = 23,316.56/x
  3. Step 3: Cross multiply
    42,182x = 58,206.12 × 23,316.56
  4. Step 4: Simplify right side
    42,182x = 1,357,166,489.35
  5. Step 5: Solve for x
    x = 1,357,166,489.35/42,182
  6. Step 6: Final answer
    x = 32,174.07

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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.