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Finding the Fourth Proportional to 48,203.54, 72,305.04 and 32,159.12

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Solution

The fourth proportional to 48,203.54, 72,305.04 and 32,159.12 is: 48,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,203.54 : 72,305.04 = 32,159.12 : x
  2. Step 2: Convert to fraction form
    48,203.54/72,305.04 = 32,159.12/x
  3. Step 3: Cross multiply
    48,203.54x = 72,305.04 × 32,159.12
  4. Step 4: Simplify right side
    48,203.54x = 2,325,266,457.96
  5. Step 5: Solve for x
    x = 2,325,266,457.96/48,203.54
  6. Step 6: Final answer
    x = 48,238.50

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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.