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Finding the Fourth Proportional to 32,123.40, 48,206.70 and 14,584.20

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Solution

The fourth proportional to 32,123.40, 48,206.70 and 14,584.20 is: 21,886.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,123.40 : 48,206.70 = 14,584.20 : x
  2. Step 2: Convert to fraction form
    32,123.40/48,206.70 = 14,584.20/x
  3. Step 3: Cross multiply
    32,123.40x = 48,206.70 × 14,584.20
  4. Step 4: Simplify right side
    32,123.40x = 703,056,154.14
  5. Step 5: Solve for x
    x = 703,056,154.14/32,123.40
  6. Step 6: Final answer
    x = 21,886.11

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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.