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Finding the Fourth Proportional to 48,046, 72,069.32 and 15,214

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Solution

The fourth proportional to 48,046, 72,069.32 and 15,214 is: 22,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,046 : 72,069.32 = 15,214 : x
  2. Step 2: Convert to fraction form
    48,046/72,069.32 = 15,214/x
  3. Step 3: Cross multiply
    48,046x = 72,069.32 × 15,214
  4. Step 4: Simplify right side
    48,046x = 1,096,462,634.48
  5. Step 5: Solve for x
    x = 1,096,462,634.48/48,046
  6. Step 6: Final answer
    x = 22,821.10

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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.