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Finding the Fourth Proportional to 30,493.67, 45,681.31 and 22,473.86

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Solution

The fourth proportional to 30,493.67, 45,681.31 and 22,473.86 is: 33,667.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,493.67 : 45,681.31 = 22,473.86 : x
  2. Step 2: Convert to fraction form
    30,493.67/45,681.31 = 22,473.86/x
  3. Step 3: Cross multiply
    30,493.67x = 45,681.31 × 22,473.86
  4. Step 4: Simplify right side
    30,493.67x = 1,026,635,423.58
  5. Step 5: Solve for x
    x = 1,026,635,423.58/30,493.67
  6. Step 6: Final answer
    x = 33,667.17

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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.