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Finding the Fourth Proportional to 32,302.32, 48,461.40 and 13,583.76

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Solution

The fourth proportional to 32,302.32, 48,461.40 and 13,583.76 is: 20,378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,302.32 : 48,461.40 = 13,583.76 : x
  2. Step 2: Convert to fraction form
    32,302.32/48,461.40 = 13,583.76/x
  3. Step 3: Cross multiply
    32,302.32x = 48,461.40 × 13,583.76
  4. Step 4: Simplify right side
    32,302.32x = 658,288,026.86
  5. Step 5: Solve for x
    x = 658,288,026.86/32,302.32
  6. Step 6: Final answer
    x = 20,378.97

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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.