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Finding the Fourth Proportional to 32,534.41, 48,709.35 and 21,302.86

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Solution

The fourth proportional to 32,534.41, 48,709.35 and 21,302.86 is: 31,893.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,534.41 : 48,709.35 = 21,302.86 : x
  2. Step 2: Convert to fraction form
    32,534.41/48,709.35 = 21,302.86/x
  3. Step 3: Cross multiply
    32,534.41x = 48,709.35 × 21,302.86
  4. Step 4: Simplify right side
    32,534.41x = 1,037,648,463.74
  5. Step 5: Solve for x
    x = 1,037,648,463.74/32,534.41
  6. Step 6: Final answer
    x = 31,893.88

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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.