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Finding the Fourth Proportional to 32,555.50, 48,823.46 and 13,835.32

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Solution

The fourth proportional to 32,555.50, 48,823.46 and 13,835.32 is: 20,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,555.50 : 48,823.46 = 13,835.32 : x
  2. Step 2: Convert to fraction form
    32,555.50/48,823.46 = 13,835.32/x
  3. Step 3: Cross multiply
    32,555.50x = 48,823.46 × 13,835.32
  4. Step 4: Simplify right side
    32,555.50x = 675,488,192.61
  5. Step 5: Solve for x
    x = 675,488,192.61/32,555.50
  6. Step 6: Final answer
    x = 20,748.82

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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.