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Finding the Fourth Proportional to 37,088.48, 55,633 and 12,464.48

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Solution

The fourth proportional to 37,088.48, 55,633 and 12,464.48 is: 18,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,088.48 : 55,633 = 12,464.48 : x
  2. Step 2: Convert to fraction form
    37,088.48/55,633 = 12,464.48/x
  3. Step 3: Cross multiply
    37,088.48x = 55,633 × 12,464.48
  4. Step 4: Simplify right side
    37,088.48x = 693,436,415.84
  5. Step 5: Solve for x
    x = 693,436,415.84/37,088.48
  6. Step 6: Final answer
    x = 18,696.81

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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.