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Finding the Fourth Proportional to 32,202.66, 48,296.70 and 14,677.50

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Solution

The fourth proportional to 32,202.66, 48,296.70 and 14,677.50 is: 22,012.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,202.66 : 48,296.70 = 14,677.50 : x
  2. Step 2: Convert to fraction form
    32,202.66/48,296.70 = 14,677.50/x
  3. Step 3: Cross multiply
    32,202.66x = 48,296.70 × 14,677.50
  4. Step 4: Simplify right side
    32,202.66x = 708,874,814.25
  5. Step 5: Solve for x
    x = 708,874,814.25/32,202.66
  6. Step 6: Final answer
    x = 22,012.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.