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Finding the Fourth Proportional to 37,884.19, 56,842.67 and 20,333.51

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Solution

The fourth proportional to 37,884.19, 56,842.67 and 20,333.51 is: 30,509.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,884.19 : 56,842.67 = 20,333.51 : x
  2. Step 2: Convert to fraction form
    37,884.19/56,842.67 = 20,333.51/x
  3. Step 3: Cross multiply
    37,884.19x = 56,842.67 × 20,333.51
  4. Step 4: Simplify right side
    37,884.19x = 1,155,810,897.20
  5. Step 5: Solve for x
    x = 1,155,810,897.20/37,884.19
  6. Step 6: Final answer
    x = 30,509.06

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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.