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Finding the Fourth Proportional to 37,019, 55,534.27 and 12,053.16

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Solution

The fourth proportional to 37,019, 55,534.27 and 12,053.16 is: 18,081.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,019 : 55,534.27 = 12,053.16 : x
  2. Step 2: Convert to fraction form
    37,019/55,534.27 = 12,053.16/x
  3. Step 3: Cross multiply
    37,019x = 55,534.27 × 12,053.16
  4. Step 4: Simplify right side
    37,019x = 669,363,441.79
  5. Step 5: Solve for x
    x = 669,363,441.79/37,019
  6. Step 6: Final answer
    x = 18,081.62

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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.