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Finding the Fourth Proportional to 42,697.80, 64,013.54 and 27,673.20

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Solution

The fourth proportional to 42,697.80, 64,013.54 and 27,673.20 is: 41,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,697.80 : 64,013.54 = 27,673.20 : x
  2. Step 2: Convert to fraction form
    42,697.80/64,013.54 = 27,673.20/x
  3. Step 3: Cross multiply
    42,697.80x = 64,013.54 × 27,673.20
  4. Step 4: Simplify right side
    42,697.80x = 1,771,459,356.76
  5. Step 5: Solve for x
    x = 1,771,459,356.76/42,697.80
  6. Step 6: Final answer
    x = 41,488.31

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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.