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Finding the Fourth Proportional to 32,165.13, 48,259.05 and 9,984.09

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Solution

The fourth proportional to 32,165.13, 48,259.05 and 9,984.09 is: 14,979.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,165.13 : 48,259.05 = 9,984.09 : x
  2. Step 2: Convert to fraction form
    32,165.13/48,259.05 = 9,984.09/x
  3. Step 3: Cross multiply
    32,165.13x = 48,259.05 × 9,984.09
  4. Step 4: Simplify right side
    32,165.13x = 481,822,698.51
  5. Step 5: Solve for x
    x = 481,822,698.51/32,165.13
  6. Step 6: Final answer
    x = 14,979.66

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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.