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Finding the Fourth Proportional to 121,711, 182,566.50 and 38,605

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Solution

The fourth proportional to 121,711, 182,566.50 and 38,605 is: 57,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,711 : 182,566.50 = 38,605 : x
  2. Step 2: Convert to fraction form
    121,711/182,566.50 = 38,605/x
  3. Step 3: Cross multiply
    121,711x = 182,566.50 × 38,605
  4. Step 4: Simplify right side
    121,711x = 7,047,979,732.50
  5. Step 5: Solve for x
    x = 7,047,979,732.50/121,711
  6. Step 6: Final answer
    x = 57,907.50

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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.