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Finding the Fourth Proportional to 32,553.80, 48,835.57 and 11,782.16

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Solution

The fourth proportional to 32,553.80, 48,835.57 and 11,782.16 is: 17,675.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,553.80 : 48,835.57 = 11,782.16 : x
  2. Step 2: Convert to fraction form
    32,553.80/48,835.57 = 11,782.16/x
  3. Step 3: Cross multiply
    32,553.80x = 48,835.57 × 11,782.16
  4. Step 4: Simplify right side
    32,553.80x = 575,388,350.50
  5. Step 5: Solve for x
    x = 575,388,350.50/32,553.80
  6. Step 6: Final answer
    x = 17,675.00

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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.