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Finding the Fourth Proportional to 32,563.70, 48,809.10 and 18,530.45

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Solution

The fourth proportional to 32,563.70, 48,809.10 and 18,530.45 is: 27,774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,563.70 : 48,809.10 = 18,530.45 : x
  2. Step 2: Convert to fraction form
    32,563.70/48,809.10 = 18,530.45/x
  3. Step 3: Cross multiply
    32,563.70x = 48,809.10 × 18,530.45
  4. Step 4: Simplify right side
    32,563.70x = 904,454,587.10
  5. Step 5: Solve for x
    x = 904,454,587.10/32,563.70
  6. Step 6: Final answer
    x = 27,774.93

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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.