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Finding the Fourth Proportional to 34,656.15, 51,946.72 and 22,652.16

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Solution

The fourth proportional to 34,656.15, 51,946.72 and 22,652.16 is: 33,953.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,656.15 : 51,946.72 = 22,652.16 : x
  2. Step 2: Convert to fraction form
    34,656.15/51,946.72 = 22,652.16/x
  3. Step 3: Cross multiply
    34,656.15x = 51,946.72 × 22,652.16
  4. Step 4: Simplify right side
    34,656.15x = 1,176,705,161.48
  5. Step 5: Solve for x
    x = 1,176,705,161.48/34,656.15
  6. Step 6: Final answer
    x = 33,953.71

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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.