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Finding the Fourth Proportional to 48,462.52, 72,558.24 and 26,196

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Solution

The fourth proportional to 48,462.52, 72,558.24 and 26,196 is: 39,220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,462.52 : 72,558.24 = 26,196 : x
  2. Step 2: Convert to fraction form
    48,462.52/72,558.24 = 26,196/x
  3. Step 3: Cross multiply
    48,462.52x = 72,558.24 × 26,196
  4. Step 4: Simplify right side
    48,462.52x = 1,900,735,655.04
  5. Step 5: Solve for x
    x = 1,900,735,655.04/48,462.52
  6. Step 6: Final answer
    x = 39,220.74

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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.