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Finding the Fourth Proportional to 53,715.61, 74,128.86 and 29,516.38

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Solution

The fourth proportional to 53,715.61, 74,128.86 and 29,516.38 is: 40,733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,715.61 : 74,128.86 = 29,516.38 : x
  2. Step 2: Convert to fraction form
    53,715.61/74,128.86 = 29,516.38/x
  3. Step 3: Cross multiply
    53,715.61x = 74,128.86 × 29,516.38
  4. Step 4: Simplify right side
    53,715.61x = 2,188,015,415.40
  5. Step 5: Solve for x
    x = 2,188,015,415.40/53,715.61
  6. Step 6: Final answer
    x = 40,733.33

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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.