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Finding the Fourth Proportional to 32,855.90, 49,320.72 and 13,148.19

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Solution

The fourth proportional to 32,855.90, 49,320.72 and 13,148.19 is: 19,737.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,855.90 : 49,320.72 = 13,148.19 : x
  2. Step 2: Convert to fraction form
    32,855.90/49,320.72 = 13,148.19/x
  3. Step 3: Cross multiply
    32,855.90x = 49,320.72 × 13,148.19
  4. Step 4: Simplify right side
    32,855.90x = 648,478,197.50
  5. Step 5: Solve for x
    x = 648,478,197.50/32,855.90
  6. Step 6: Final answer
    x = 19,737.04

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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.