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Finding the Fourth Proportional to 32,966.01, 49,448.52 and 8,006.25

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Solution

The fourth proportional to 32,966.01, 49,448.52 and 8,006.25 is: 12,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,966.01 : 49,448.52 = 8,006.25 : x
  2. Step 2: Convert to fraction form
    32,966.01/49,448.52 = 8,006.25/x
  3. Step 3: Cross multiply
    32,966.01x = 49,448.52 × 8,006.25
  4. Step 4: Simplify right side
    32,966.01x = 395,897,213.25
  5. Step 5: Solve for x
    x = 395,897,213.25/32,966.01
  6. Step 6: Final answer
    x = 12,009.25

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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.