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Finding the Fourth Proportional to 96,234.48, 132,801.24 and 53,798

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Solution

The fourth proportional to 96,234.48, 132,801.24 and 53,798 is: 74,239.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,234.48 : 132,801.24 = 53,798 : x
  2. Step 2: Convert to fraction form
    96,234.48/132,801.24 = 53,798/x
  3. Step 3: Cross multiply
    96,234.48x = 132,801.24 × 53,798
  4. Step 4: Simplify right side
    96,234.48x = 7,144,441,109.52
  5. Step 5: Solve for x
    x = 7,144,441,109.52/96,234.48
  6. Step 6: Final answer
    x = 74,239.93

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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.