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Finding the Fourth Proportional to 52,342.46, 72,208.77 and 31,109.66

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Solution

The fourth proportional to 52,342.46, 72,208.77 and 31,109.66 is: 42,917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,342.46 : 72,208.77 = 31,109.66 : x
  2. Step 2: Convert to fraction form
    52,342.46/72,208.77 = 31,109.66/x
  3. Step 3: Cross multiply
    52,342.46x = 72,208.77 × 31,109.66
  4. Step 4: Simplify right side
    52,342.46x = 2,246,390,283.72
  5. Step 5: Solve for x
    x = 2,246,390,283.72/52,342.46
  6. Step 6: Final answer
    x = 42,917.17

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