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Finding the Fourth Proportional to 32,537.84, 48,814.27 and 13,818.48

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Solution

The fourth proportional to 32,537.84, 48,814.27 and 13,818.48 is: 20,730.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,537.84 : 48,814.27 = 13,818.48 : x
  2. Step 2: Convert to fraction form
    32,537.84/48,814.27 = 13,818.48/x
  3. Step 3: Cross multiply
    32,537.84x = 48,814.27 × 13,818.48
  4. Step 4: Simplify right side
    32,537.84x = 674,539,109.55
  5. Step 5: Solve for x
    x = 674,539,109.55/32,537.84
  6. Step 6: Final answer
    x = 20,730.92

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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.