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Finding the Fourth Proportional to 32,970.42, 49,455.69 and 8,010.49

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Solution

The fourth proportional to 32,970.42, 49,455.69 and 8,010.49 is: 12,015.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,970.42 : 49,455.69 = 8,010.49 : x
  2. Step 2: Convert to fraction form
    32,970.42/49,455.69 = 8,010.49/x
  3. Step 3: Cross multiply
    32,970.42x = 49,455.69 × 8,010.49
  4. Step 4: Simplify right side
    32,970.42x = 396,164,402.05
  5. Step 5: Solve for x
    x = 396,164,402.05/32,970.42
  6. Step 6: Final answer
    x = 12,015.75

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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.