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Finding the Fourth Proportional to 55,934.40, 83,901.60 and 54,962.40

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Solution

The fourth proportional to 55,934.40, 83,901.60 and 54,962.40 is: 82,443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,934.40 : 83,901.60 = 54,962.40 : x
  2. Step 2: Convert to fraction form
    55,934.40/83,901.60 = 54,962.40/x
  3. Step 3: Cross multiply
    55,934.40x = 83,901.60 × 54,962.40
  4. Step 4: Simplify right side
    55,934.40x = 4,611,433,299.84
  5. Step 5: Solve for x
    x = 4,611,433,299.84/55,934.40
  6. Step 6: Final answer
    x = 82,443.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.