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Finding the Fourth Proportional to 37,670.40, 52,002 and 24,749.28

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Solution

The fourth proportional to 37,670.40, 52,002 and 24,749.28 is: 34,165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,670.40 : 52,002 = 24,749.28 : x
  2. Step 2: Convert to fraction form
    37,670.40/52,002 = 24,749.28/x
  3. Step 3: Cross multiply
    37,670.40x = 52,002 × 24,749.28
  4. Step 4: Simplify right side
    37,670.40x = 1,287,012,058.56
  5. Step 5: Solve for x
    x = 1,287,012,058.56/37,670.40
  6. Step 6: Final answer
    x = 34,165.08

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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.