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Finding the Fourth Proportional to 32,123.12, 48,184.68 and 13,411.99

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Solution

The fourth proportional to 32,123.12, 48,184.68 and 13,411.99 is: 20,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,123.12 : 48,184.68 = 13,411.99 : x
  2. Step 2: Convert to fraction form
    32,123.12/48,184.68 = 13,411.99/x
  3. Step 3: Cross multiply
    32,123.12x = 48,184.68 × 13,411.99
  4. Step 4: Simplify right side
    32,123.12x = 646,252,205.39
  5. Step 5: Solve for x
    x = 646,252,205.39/32,123.12
  6. Step 6: Final answer
    x = 20,117.98

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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.