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Finding the Fourth Proportional to 37,534.27, 56,323.62 and 13,858.33

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Solution

The fourth proportional to 37,534.27, 56,323.62 and 13,858.33 is: 20,795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,534.27 : 56,323.62 = 13,858.33 : x
  2. Step 2: Convert to fraction form
    37,534.27/56,323.62 = 13,858.33/x
  3. Step 3: Cross multiply
    37,534.27x = 56,323.62 × 13,858.33
  4. Step 4: Simplify right side
    37,534.27x = 780,551,312.75
  5. Step 5: Solve for x
    x = 780,551,312.75/37,534.27
  6. Step 6: Final answer
    x = 20,795.70

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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.