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Finding the Fourth Proportional to 52,523.78, 72,484.74 and 29,866.58

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Solution

The fourth proportional to 52,523.78, 72,484.74 and 29,866.58 is: 41,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,523.78 : 72,484.74 = 29,866.58 : x
  2. Step 2: Convert to fraction form
    52,523.78/72,484.74 = 29,866.58/x
  3. Step 3: Cross multiply
    52,523.78x = 72,484.74 × 29,866.58
  4. Step 4: Simplify right side
    52,523.78x = 2,164,871,285.99
  5. Step 5: Solve for x
    x = 2,164,871,285.99/52,523.78
  6. Step 6: Final answer
    x = 41,216.97

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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.