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Finding the Fourth Proportional to 37,870.96, 52,213.33 and 31,039.83

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Solution

The fourth proportional to 37,870.96, 52,213.33 and 31,039.83 is: 42,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,870.96 : 52,213.33 = 31,039.83 : x
  2. Step 2: Convert to fraction form
    37,870.96/52,213.33 = 31,039.83/x
  3. Step 3: Cross multiply
    37,870.96x = 52,213.33 × 31,039.83
  4. Step 4: Simplify right side
    37,870.96x = 1,620,692,886.93
  5. Step 5: Solve for x
    x = 1,620,692,886.93/37,870.96
  6. Step 6: Final answer
    x = 42,795.14

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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.