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Finding the Fourth Proportional to 32,962.14, 49,462.65 and 12,200.22

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Solution

The fourth proportional to 32,962.14, 49,462.65 and 12,200.22 is: 18,307.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,962.14 : 49,462.65 = 12,200.22 : x
  2. Step 2: Convert to fraction form
    32,962.14/49,462.65 = 12,200.22/x
  3. Step 3: Cross multiply
    32,962.14x = 49,462.65 × 12,200.22
  4. Step 4: Simplify right side
    32,962.14x = 603,455,211.78
  5. Step 5: Solve for x
    x = 603,455,211.78/32,962.14
  6. Step 6: Final answer
    x = 18,307.53

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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.