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Finding the Fourth Proportional to 49,697, 74,500.14 and 45,368.36

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Solution

The fourth proportional to 49,697, 74,500.14 and 45,368.36 is: 68,011.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,697 : 74,500.14 = 45,368.36 : x
  2. Step 2: Convert to fraction form
    49,697/74,500.14 = 45,368.36/x
  3. Step 3: Cross multiply
    49,697x = 74,500.14 × 45,368.36
  4. Step 4: Simplify right side
    49,697x = 3,379,949,171.57
  5. Step 5: Solve for x
    x = 3,379,949,171.57/49,697
  6. Step 6: Final answer
    x = 68,011.13

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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.