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Finding the Fourth Proportional to 48,870, 73,232.10 and 31,325.40

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Solution

The fourth proportional to 48,870, 73,232.10 and 31,325.40 is: 46,941.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,870 : 73,232.10 = 31,325.40 : x
  2. Step 2: Convert to fraction form
    48,870/73,232.10 = 31,325.40/x
  3. Step 3: Cross multiply
    48,870x = 73,232.10 × 31,325.40
  4. Step 4: Simplify right side
    48,870x = 2,294,024,825.34
  5. Step 5: Solve for x
    x = 2,294,024,825.34/48,870
  6. Step 6: Final answer
    x = 46,941.37

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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.