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Finding the Fourth Proportional to 37,652.10, 56,474.10 and 9,950.10

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Solution

The fourth proportional to 37,652.10, 56,474.10 and 9,950.10 is: 14,924.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,652.10 : 56,474.10 = 9,950.10 : x
  2. Step 2: Convert to fraction form
    37,652.10/56,474.10 = 9,950.10/x
  3. Step 3: Cross multiply
    37,652.10x = 56,474.10 × 9,950.10
  4. Step 4: Simplify right side
    37,652.10x = 561,922,942.41
  5. Step 5: Solve for x
    x = 561,922,942.41/37,652.10
  6. Step 6: Final answer
    x = 14,924.08

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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.