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Finding the Fourth Proportional to 155,367, 233,050.50 and 38,631

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Solution

The fourth proportional to 155,367, 233,050.50 and 38,631 is: 57,946.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,367 : 233,050.50 = 38,631 : x
  2. Step 2: Convert to fraction form
    155,367/233,050.50 = 38,631/x
  3. Step 3: Cross multiply
    155,367x = 233,050.50 × 38,631
  4. Step 4: Simplify right side
    155,367x = 9,002,973,865.50
  5. Step 5: Solve for x
    x = 9,002,973,865.50/155,367
  6. Step 6: Final answer
    x = 57,946.50

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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.