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Finding the Fourth Proportional to 55,478.08, 76,599.84 and 34,286.40

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Solution

The fourth proportional to 55,478.08, 76,599.84 and 34,286.40 is: 47,340.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,478.08 : 76,599.84 = 34,286.40 : x
  2. Step 2: Convert to fraction form
    55,478.08/76,599.84 = 34,286.40/x
  3. Step 3: Cross multiply
    55,478.08x = 76,599.84 × 34,286.40
  4. Step 4: Simplify right side
    55,478.08x = 2,626,332,754.18
  5. Step 5: Solve for x
    x = 2,626,332,754.18/55,478.08
  6. Step 6: Final answer
    x = 47,340.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.