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Finding the Fourth Proportional to 42,793.93, 64,197.05 and 13,214.05

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Solution

The fourth proportional to 42,793.93, 64,197.05 and 13,214.05 is: 19,822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,793.93 : 64,197.05 = 13,214.05 : x
  2. Step 2: Convert to fraction form
    42,793.93/64,197.05 = 13,214.05/x
  3. Step 3: Cross multiply
    42,793.93x = 64,197.05 × 13,214.05
  4. Step 4: Simplify right side
    42,793.93x = 848,302,962.48
  5. Step 5: Solve for x
    x = 848,302,962.48/42,793.93
  6. Step 6: Final answer
    x = 19,822.97

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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.