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Finding the Fourth Proportional to 52,678.40, 72,690.22 and 31,168.80

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Solution

The fourth proportional to 52,678.40, 72,690.22 and 31,168.80 is: 43,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,678.40 : 72,690.22 = 31,168.80 : x
  2. Step 2: Convert to fraction form
    52,678.40/72,690.22 = 31,168.80/x
  3. Step 3: Cross multiply
    52,678.40x = 72,690.22 × 31,168.80
  4. Step 4: Simplify right side
    52,678.40x = 2,265,666,929.14
  5. Step 5: Solve for x
    x = 2,265,666,929.14/52,678.40
  6. Step 6: Final answer
    x = 43,009.41

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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.