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Finding the Fourth Proportional to 52,299.38, 78,733.65 and 47,649.29

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Solution

The fourth proportional to 52,299.38, 78,733.65 and 47,649.29 is: 71,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,299.38 : 78,733.65 = 47,649.29 : x
  2. Step 2: Convert to fraction form
    52,299.38/78,733.65 = 47,649.29/x
  3. Step 3: Cross multiply
    52,299.38x = 78,733.65 × 47,649.29
  4. Step 4: Simplify right side
    52,299.38x = 3,751,602,127.94
  5. Step 5: Solve for x
    x = 3,751,602,127.94/52,299.38
  6. Step 6: Final answer
    x = 71,733.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.