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Finding the Fourth Proportional to 32,830.89, 48,934.03 and 30,962.37

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Solution

The fourth proportional to 32,830.89, 48,934.03 and 30,962.37 is: 46,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,830.89 : 48,934.03 = 30,962.37 : x
  2. Step 2: Convert to fraction form
    32,830.89/48,934.03 = 30,962.37/x
  3. Step 3: Cross multiply
    32,830.89x = 48,934.03 × 30,962.37
  4. Step 4: Simplify right side
    32,830.89x = 1,515,113,542.45
  5. Step 5: Solve for x
    x = 1,515,113,542.45/32,830.89
  6. Step 6: Final answer
    x = 46,149.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.