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Finding the Fourth Proportional to 32,468.58, 48,705.02 and 11,406.06

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Solution

The fourth proportional to 32,468.58, 48,705.02 and 11,406.06 is: 17,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,468.58 : 48,705.02 = 11,406.06 : x
  2. Step 2: Convert to fraction form
    32,468.58/48,705.02 = 11,406.06/x
  3. Step 3: Cross multiply
    32,468.58x = 48,705.02 × 11,406.06
  4. Step 4: Simplify right side
    32,468.58x = 555,532,380.42
  5. Step 5: Solve for x
    x = 555,532,380.42/32,468.58
  6. Step 6: Final answer
    x = 17,109.85

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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.