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Finding the Fourth Proportional to 48,523.34, 72,784.20 and 21,854.50

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Solution

The fourth proportional to 48,523.34, 72,784.20 and 21,854.50 is: 32,781.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,523.34 : 72,784.20 = 21,854.50 : x
  2. Step 2: Convert to fraction form
    48,523.34/72,784.20 = 21,854.50/x
  3. Step 3: Cross multiply
    48,523.34x = 72,784.20 × 21,854.50
  4. Step 4: Simplify right side
    48,523.34x = 1,590,662,012.30
  5. Step 5: Solve for x
    x = 1,590,662,012.30/48,523.34
  6. Step 6: Final answer
    x = 32,781.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.