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Finding the Fourth Proportional to 52,566.54, 72,523.16 and 31,051.68

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Solution

The fourth proportional to 52,566.54, 72,523.16 and 31,051.68 is: 42,840.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,566.54 : 72,523.16 = 31,051.68 : x
  2. Step 2: Convert to fraction form
    52,566.54/72,523.16 = 31,051.68/x
  3. Step 3: Cross multiply
    52,566.54x = 72,523.16 × 31,051.68
  4. Step 4: Simplify right side
    52,566.54x = 2,251,965,956.91
  5. Step 5: Solve for x
    x = 2,251,965,956.91/52,566.54
  6. Step 6: Final answer
    x = 42,840.29

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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.