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Finding the Fourth Proportional to 37,352.16, 56,028.24 and 9,648

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Solution

The fourth proportional to 37,352.16, 56,028.24 and 9,648 is: 14,472.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,352.16 : 56,028.24 = 9,648 : x
  2. Step 2: Convert to fraction form
    37,352.16/56,028.24 = 9,648/x
  3. Step 3: Cross multiply
    37,352.16x = 56,028.24 × 9,648
  4. Step 4: Simplify right side
    37,352.16x = 540,560,459.52
  5. Step 5: Solve for x
    x = 540,560,459.52/37,352.16
  6. Step 6: Final answer
    x = 14,472.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.