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Finding the Fourth Proportional to 42,166.09, 58,186.92 and 23,302

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Solution

The fourth proportional to 42,166.09, 58,186.92 and 23,302 is: 32,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,166.09 : 58,186.92 = 23,302 : x
  2. Step 2: Convert to fraction form
    42,166.09/58,186.92 = 23,302/x
  3. Step 3: Cross multiply
    42,166.09x = 58,186.92 × 23,302
  4. Step 4: Simplify right side
    42,166.09x = 1,355,871,609.84
  5. Step 5: Solve for x
    x = 1,355,871,609.84/42,166.09
  6. Step 6: Final answer
    x = 32,155.50

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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.