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Finding the Fourth Proportional to 32,560.14, 48,807 and 12,830.70

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Solution

The fourth proportional to 32,560.14, 48,807 and 12,830.70 is: 19,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,560.14 : 48,807 = 12,830.70 : x
  2. Step 2: Convert to fraction form
    32,560.14/48,807 = 12,830.70/x
  3. Step 3: Cross multiply
    32,560.14x = 48,807 × 12,830.70
  4. Step 4: Simplify right side
    32,560.14x = 626,227,974.90
  5. Step 5: Solve for x
    x = 626,227,974.90/32,560.14
  6. Step 6: Final answer
    x = 19,232.96

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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.