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Finding the Fourth Proportional to 48,346, 72,538.20 and 22,063.12

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Solution

The fourth proportional to 48,346, 72,538.20 and 22,063.12 is: 33,103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,346 : 72,538.20 = 22,063.12 : x
  2. Step 2: Convert to fraction form
    48,346/72,538.20 = 22,063.12/x
  3. Step 3: Cross multiply
    48,346x = 72,538.20 × 22,063.12
  4. Step 4: Simplify right side
    48,346x = 1,600,419,011.18
  5. Step 5: Solve for x
    x = 1,600,419,011.18/48,346
  6. Step 6: Final answer
    x = 33,103.44

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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.