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Finding the Fourth Proportional to 32,155.97, 48,263.56 and 16,372.28

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Solution

The fourth proportional to 32,155.97, 48,263.56 and 16,372.28 is: 24,573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,155.97 : 48,263.56 = 16,372.28 : x
  2. Step 2: Convert to fraction form
    32,155.97/48,263.56 = 16,372.28/x
  3. Step 3: Cross multiply
    32,155.97x = 48,263.56 × 16,372.28
  4. Step 4: Simplify right side
    32,155.97x = 790,184,518.12
  5. Step 5: Solve for x
    x = 790,184,518.12/32,155.97
  6. Step 6: Final answer
    x = 24,573.49

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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.