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Finding the Fourth Proportional to 97,784.70, 146,725.65 and 38,622.30

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Solution

The fourth proportional to 97,784.70, 146,725.65 and 38,622.30 is: 57,952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,784.70 : 146,725.65 = 38,622.30 : x
  2. Step 2: Convert to fraction form
    97,784.70/146,725.65 = 38,622.30/x
  3. Step 3: Cross multiply
    97,784.70x = 146,725.65 × 38,622.30
  4. Step 4: Simplify right side
    97,784.70x = 5,666,882,072.00
  5. Step 5: Solve for x
    x = 5,666,882,072.00/97,784.70
  6. Step 6: Final answer
    x = 57,952.65

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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.