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Finding the Fourth Proportional to 53,903.72, 80,866.78 and 22,739.24

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Solution

The fourth proportional to 53,903.72, 80,866.78 and 22,739.24 is: 34,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,903.72 : 80,866.78 = 22,739.24 : x
  2. Step 2: Convert to fraction form
    53,903.72/80,866.78 = 22,739.24/x
  3. Step 3: Cross multiply
    53,903.72x = 80,866.78 × 22,739.24
  4. Step 4: Simplify right side
    53,903.72x = 1,838,849,118.45
  5. Step 5: Solve for x
    x = 1,838,849,118.45/53,903.72
  6. Step 6: Final answer
    x = 34,113.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.