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Finding the Fourth Proportional to 36,801.48, 55,201.50 and 10,506

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Solution

The fourth proportional to 36,801.48, 55,201.50 and 10,506 is: 15,758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,801.48 : 55,201.50 = 10,506 : x
  2. Step 2: Convert to fraction form
    36,801.48/55,201.50 = 10,506/x
  3. Step 3: Cross multiply
    36,801.48x = 55,201.50 × 10,506
  4. Step 4: Simplify right side
    36,801.48x = 579,946,959
  5. Step 5: Solve for x
    x = 579,946,959/36,801.48
  6. Step 6: Final answer
    x = 15,758.79

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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.