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Finding the Fourth Proportional to 32,963.01, 49,444.02 and 8,003.25

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Solution

The fourth proportional to 32,963.01, 49,444.02 and 8,003.25 is: 12,004.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,963.01 : 49,444.02 = 8,003.25 : x
  2. Step 2: Convert to fraction form
    32,963.01/49,444.02 = 8,003.25/x
  3. Step 3: Cross multiply
    32,963.01x = 49,444.02 × 8,003.25
  4. Step 4: Simplify right side
    32,963.01x = 395,712,853.07
  5. Step 5: Solve for x
    x = 395,712,853.07/32,963.01
  6. Step 6: Final answer
    x = 12,004.75

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1.5x scale

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.