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Finding the Fourth Proportional to 96,271.38, 132,854.54 and 53,830.04

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Solution

The fourth proportional to 96,271.38, 132,854.54 and 53,830.04 is: 74,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,271.38 : 132,854.54 = 53,830.04 : x
  2. Step 2: Convert to fraction form
    96,271.38/132,854.54 = 53,830.04/x
  3. Step 3: Cross multiply
    96,271.38x = 132,854.54 × 53,830.04
  4. Step 4: Simplify right side
    96,271.38x = 7,151,564,268.96
  5. Step 5: Solve for x
    x = 7,151,564,268.96/96,271.38
  6. Step 6: Final answer
    x = 74,285.47

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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.