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Finding the Fourth Proportional to 42,207.09, 58,243.50 and 23,343

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Solution

The fourth proportional to 42,207.09, 58,243.50 and 23,343 is: 32,212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,207.09 : 58,243.50 = 23,343 : x
  2. Step 2: Convert to fraction form
    42,207.09/58,243.50 = 23,343/x
  3. Step 3: Cross multiply
    42,207.09x = 58,243.50 × 23,343
  4. Step 4: Simplify right side
    42,207.09x = 1,359,578,020.50
  5. Step 5: Solve for x
    x = 1,359,578,020.50/42,207.09
  6. Step 6: Final answer
    x = 32,212.08

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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.