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Finding the Fourth Proportional to 52,083, 71,875.94 and 31,928.27

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Solution

The fourth proportional to 52,083, 71,875.94 and 31,928.27 is: 44,061.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,083 : 71,875.94 = 31,928.27 : x
  2. Step 2: Convert to fraction form
    52,083/71,875.94 = 31,928.27/x
  3. Step 3: Cross multiply
    52,083x = 71,875.94 × 31,928.27
  4. Step 4: Simplify right side
    52,083x = 2,294,873,899.80
  5. Step 5: Solve for x
    x = 2,294,873,899.80/52,083
  6. Step 6: Final answer
    x = 44,061.86

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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.