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Finding the Fourth Proportional to 48,368.96, 66,695 and 30,442

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Solution

The fourth proportional to 48,368.96, 66,695 and 30,442 is: 41,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,368.96 : 66,695 = 30,442 : x
  2. Step 2: Convert to fraction form
    48,368.96/66,695 = 30,442/x
  3. Step 3: Cross multiply
    48,368.96x = 66,695 × 30,442
  4. Step 4: Simplify right side
    48,368.96x = 2,030,329,190
  5. Step 5: Solve for x
    x = 2,030,329,190/48,368.96
  6. Step 6: Final answer
    x = 41,975.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.