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Finding the Fourth Proportional to 48,295.72, 72,402.14 and 21,991.08

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Solution

The fourth proportional to 48,295.72, 72,402.14 and 21,991.08 is: 32,967.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,295.72 : 72,402.14 = 21,991.08 : x
  2. Step 2: Convert to fraction form
    48,295.72/72,402.14 = 21,991.08/x
  3. Step 3: Cross multiply
    48,295.72x = 72,402.14 × 21,991.08
  4. Step 4: Simplify right side
    48,295.72x = 1,592,201,252.91
  5. Step 5: Solve for x
    x = 1,592,201,252.91/48,295.72
  6. Step 6: Final answer
    x = 32,967.75

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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.