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Finding the Fourth Proportional to 52,714.80, 72,737.19 and 31,222.26

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Solution

The fourth proportional to 52,714.80, 72,737.19 and 31,222.26 is: 43,081.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,714.80 : 72,737.19 = 31,222.26 : x
  2. Step 2: Convert to fraction form
    52,714.80/72,737.19 = 31,222.26/x
  3. Step 3: Cross multiply
    52,714.80x = 72,737.19 × 31,222.26
  4. Step 4: Simplify right side
    52,714.80x = 2,271,019,457.85
  5. Step 5: Solve for x
    x = 2,271,019,457.85/52,714.80
  6. Step 6: Final answer
    x = 43,081.25

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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.