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Finding the Fourth Proportional to 32,993.12, 49,477.32 and 13,264.98

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Solution

The fourth proportional to 32,993.12, 49,477.32 and 13,264.98 is: 19,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,993.12 : 49,477.32 = 13,264.98 : x
  2. Step 2: Convert to fraction form
    32,993.12/49,477.32 = 13,264.98/x
  3. Step 3: Cross multiply
    32,993.12x = 49,477.32 × 13,264.98
  4. Step 4: Simplify right side
    32,993.12x = 656,315,660.25
  5. Step 5: Solve for x
    x = 656,315,660.25/32,993.12
  6. Step 6: Final answer
    x = 19,892.50

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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.