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Finding the Fourth Proportional to 105,036, 157,579.92 and 31,164

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Solution

The fourth proportional to 105,036, 157,579.92 and 31,164 is: 46,753.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,036 : 157,579.92 = 31,164 : x
  2. Step 2: Convert to fraction form
    105,036/157,579.92 = 31,164/x
  3. Step 3: Cross multiply
    105,036x = 157,579.92 × 31,164
  4. Step 4: Simplify right side
    105,036x = 4,910,820,626.88
  5. Step 5: Solve for x
    x = 4,910,820,626.88/105,036
  6. Step 6: Final answer
    x = 46,753.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.