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Finding the Fourth Proportional to 96,365.66, 132,978.19 and 53,342.24

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Solution

The fourth proportional to 96,365.66, 132,978.19 and 53,342.24 is: 73,608.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,365.66 : 132,978.19 = 53,342.24 : x
  2. Step 2: Convert to fraction form
    96,365.66/132,978.19 = 53,342.24/x
  3. Step 3: Cross multiply
    96,365.66x = 132,978.19 × 53,342.24
  4. Step 4: Simplify right side
    96,365.66x = 7,093,354,259.03
  5. Step 5: Solve for x
    x = 7,093,354,259.03/96,365.66
  6. Step 6: Final answer
    x = 73,608.73

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1.5x scale

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.