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Finding the Fourth Proportional to 52,205.58, 72,039.38 and 29,543.40

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Solution

The fourth proportional to 52,205.58, 72,039.38 and 29,543.40 is: 40,767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,205.58 : 72,039.38 = 29,543.40 : x
  2. Step 2: Convert to fraction form
    52,205.58/72,039.38 = 29,543.40/x
  3. Step 3: Cross multiply
    52,205.58x = 72,039.38 × 29,543.40
  4. Step 4: Simplify right side
    52,205.58x = 2,128,288,071.38
  5. Step 5: Solve for x
    x = 2,128,288,071.38/52,205.58
  6. Step 6: Final answer
    x = 40,767.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.