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Finding the Fourth Proportional to 48,344.50, 72,518.71 and 23,031

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Solution

The fourth proportional to 48,344.50, 72,518.71 and 23,031 is: 34,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,344.50 : 72,518.71 = 23,031 : x
  2. Step 2: Convert to fraction form
    48,344.50/72,518.71 = 23,031/x
  3. Step 3: Cross multiply
    48,344.50x = 72,518.71 × 23,031
  4. Step 4: Simplify right side
    48,344.50x = 1,670,178,410.01
  5. Step 5: Solve for x
    x = 1,670,178,410.01/48,344.50
  6. Step 6: Final answer
    x = 34,547.43

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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.