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Finding the Fourth Proportional to 72,284, 99,813.48 and 45,471.38

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Solution

The fourth proportional to 72,284, 99,813.48 and 45,471.38 is: 62,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,284 : 99,813.48 = 45,471.38 : x
  2. Step 2: Convert to fraction form
    72,284/99,813.48 = 45,471.38/x
  3. Step 3: Cross multiply
    72,284x = 99,813.48 × 45,471.38
  4. Step 4: Simplify right side
    72,284x = 4,538,656,678.20
  5. Step 5: Solve for x
    x = 4,538,656,678.20/72,284
  6. Step 6: Final answer
    x = 62,789.23

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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.