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Finding the Fourth Proportional to 52,343.96, 72,210.84 and 31,111.16

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Solution

The fourth proportional to 52,343.96, 72,210.84 and 31,111.16 is: 42,919.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,343.96 : 72,210.84 = 31,111.16 : x
  2. Step 2: Convert to fraction form
    52,343.96/72,210.84 = 31,111.16/x
  3. Step 3: Cross multiply
    52,343.96x = 72,210.84 × 31,111.16
  4. Step 4: Simplify right side
    52,343.96x = 2,246,562,996.97
  5. Step 5: Solve for x
    x = 2,246,562,996.97/52,343.96
  6. Step 6: Final answer
    x = 42,919.24

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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.