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Finding the Fourth Proportional to 32,966.32, 49,437.84 and 14,245.60

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Solution

The fourth proportional to 32,966.32, 49,437.84 and 14,245.60 is: 21,363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,966.32 : 49,437.84 = 14,245.60 : x
  2. Step 2: Convert to fraction form
    32,966.32/49,437.84 = 14,245.60/x
  3. Step 3: Cross multiply
    32,966.32x = 49,437.84 × 14,245.60
  4. Step 4: Simplify right side
    32,966.32x = 704,271,693.50
  5. Step 5: Solve for x
    x = 704,271,693.50/32,966.32
  6. Step 6: Final answer
    x = 21,363.37

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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.