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Finding the Fourth Proportional to 32,740, 49,111.22 and 10,553.70

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Solution

The fourth proportional to 32,740, 49,111.22 and 10,553.70 is: 15,830.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,740 : 49,111.22 = 10,553.70 : x
  2. Step 2: Convert to fraction form
    32,740/49,111.22 = 10,553.70/x
  3. Step 3: Cross multiply
    32,740x = 49,111.22 × 10,553.70
  4. Step 4: Simplify right side
    32,740x = 518,305,082.51
  5. Step 5: Solve for x
    x = 518,305,082.51/32,740
  6. Step 6: Final answer
    x = 15,830.94

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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.