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Finding the Fourth Proportional to 32,486.96, 48,701.27 and 11,695.88

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Solution

The fourth proportional to 32,486.96, 48,701.27 and 11,695.88 is: 17,533.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,486.96 : 48,701.27 = 11,695.88 : x
  2. Step 2: Convert to fraction form
    32,486.96/48,701.27 = 11,695.88/x
  3. Step 3: Cross multiply
    32,486.96x = 48,701.27 × 11,695.88
  4. Step 4: Simplify right side
    32,486.96x = 569,603,907.78
  5. Step 5: Solve for x
    x = 569,603,907.78/32,486.96
  6. Step 6: Final answer
    x = 17,533.31

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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.