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Finding the Fourth Proportional to 96,357.79, 132,970.42 and 53,339.16

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Solution

The fourth proportional to 96,357.79, 132,970.42 and 53,339.16 is: 73,606.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,357.79 : 132,970.42 = 53,339.16 : x
  2. Step 2: Convert to fraction form
    96,357.79/132,970.42 = 53,339.16/x
  3. Step 3: Cross multiply
    96,357.79x = 132,970.42 × 53,339.16
  4. Step 4: Simplify right side
    96,357.79x = 7,092,530,607.19
  5. Step 5: Solve for x
    x = 7,092,530,607.19/96,357.79
  6. Step 6: Final answer
    x = 73,606.20

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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.