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Finding the Fourth Proportional to 36,658, 50,588.16 and 22,510.72

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Solution

The fourth proportional to 36,658, 50,588.16 and 22,510.72 is: 31,064.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,658 : 50,588.16 = 22,510.72 : x
  2. Step 2: Convert to fraction form
    36,658/50,588.16 = 22,510.72/x
  3. Step 3: Cross multiply
    36,658x = 50,588.16 × 22,510.72
  4. Step 4: Simplify right side
    36,658x = 1,138,775,905.08
  5. Step 5: Solve for x
    x = 1,138,775,905.08/36,658
  6. Step 6: Final answer
    x = 31,064.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.