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Finding the Fourth Proportional to 42,009, 63,013.77 and 10,844.52

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Solution

The fourth proportional to 42,009, 63,013.77 and 10,844.52 is: 16,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,009 : 63,013.77 = 10,844.52 : x
  2. Step 2: Convert to fraction form
    42,009/63,013.77 = 10,844.52/x
  3. Step 3: Cross multiply
    42,009x = 63,013.77 × 10,844.52
  4. Step 4: Simplify right side
    42,009x = 683,354,089.04
  5. Step 5: Solve for x
    x = 683,354,089.04/42,009
  6. Step 6: Final answer
    x = 16,266.85

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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.