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Finding the Fourth Proportional to 34,462.72, 47,526.24 and 27,412.48

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Solution

The fourth proportional to 34,462.72, 47,526.24 and 27,412.48 is: 37,803.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,462.72 : 47,526.24 = 27,412.48 : x
  2. Step 2: Convert to fraction form
    34,462.72/47,526.24 = 27,412.48/x
  3. Step 3: Cross multiply
    34,462.72x = 47,526.24 × 27,412.48
  4. Step 4: Simplify right side
    34,462.72x = 1,302,812,103.48
  5. Step 5: Solve for x
    x = 1,302,812,103.48/34,462.72
  6. Step 6: Final answer
    x = 37,803.52

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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.