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Finding the Fourth Proportional to 83,163.16, 124,740.66 and 30,569.32

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Solution

The fourth proportional to 83,163.16, 124,740.66 and 30,569.32 is: 45,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,163.16 : 124,740.66 = 30,569.32 : x
  2. Step 2: Convert to fraction form
    83,163.16/124,740.66 = 30,569.32/x
  3. Step 3: Cross multiply
    83,163.16x = 124,740.66 × 30,569.32
  4. Step 4: Simplify right side
    83,163.16x = 3,813,237,152.55
  5. Step 5: Solve for x
    x = 3,813,237,152.55/83,163.16
  6. Step 6: Final answer
    x = 45,852.48

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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.