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Finding the Fourth Proportional to 53,091.52, 73,289.28 and 34,259.20

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Solution

The fourth proportional to 53,091.52, 73,289.28 and 34,259.20 is: 47,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,091.52 : 73,289.28 = 34,259.20 : x
  2. Step 2: Convert to fraction form
    53,091.52/73,289.28 = 34,259.20/x
  3. Step 3: Cross multiply
    53,091.52x = 73,289.28 × 34,259.20
  4. Step 4: Simplify right side
    53,091.52x = 2,510,832,101.38
  5. Step 5: Solve for x
    x = 2,510,832,101.38/53,091.52
  6. Step 6: Final answer
    x = 47,292.53

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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.