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Finding the Fourth Proportional to 64,148.25, 88,524.72 and 42,978.09

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Solution

The fourth proportional to 64,148.25, 88,524.72 and 42,978.09 is: 59,309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,148.25 : 88,524.72 = 42,978.09 : x
  2. Step 2: Convert to fraction form
    64,148.25/88,524.72 = 42,978.09/x
  3. Step 3: Cross multiply
    64,148.25x = 88,524.72 × 42,978.09
  4. Step 4: Simplify right side
    64,148.25x = 3,804,623,383.38
  5. Step 5: Solve for x
    x = 3,804,623,383.38/64,148.25
  6. Step 6: Final answer
    x = 59,309.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.