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Finding the Fourth Proportional to 32,611.40, 48,904.95 and 11,543.30

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Solution

The fourth proportional to 32,611.40, 48,904.95 and 11,543.30 is: 17,310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,611.40 : 48,904.95 = 11,543.30 : x
  2. Step 2: Convert to fraction form
    32,611.40/48,904.95 = 11,543.30/x
  3. Step 3: Cross multiply
    32,611.40x = 48,904.95 × 11,543.30
  4. Step 4: Simplify right side
    32,611.40x = 564,524,509.34
  5. Step 5: Solve for x
    x = 564,524,509.34/32,611.40
  6. Step 6: Final answer
    x = 17,310.65

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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.