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Finding the Fourth Proportional to 55,715.46, 83,597.70 and 22,500.30

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Solution

The fourth proportional to 55,715.46, 83,597.70 and 22,500.30 is: 33,760.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,715.46 : 83,597.70 = 22,500.30 : x
  2. Step 2: Convert to fraction form
    55,715.46/83,597.70 = 22,500.30/x
  3. Step 3: Cross multiply
    55,715.46x = 83,597.70 × 22,500.30
  4. Step 4: Simplify right side
    55,715.46x = 1,880,973,329.31
  5. Step 5: Solve for x
    x = 1,880,973,329.31/55,715.46
  6. Step 6: Final answer
    x = 33,760.35

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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.