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Finding the Fourth Proportional to 55,273.79, 82,910.34 and 15,830.91

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Solution

The fourth proportional to 55,273.79, 82,910.34 and 15,830.91 is: 23,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,273.79 : 82,910.34 = 15,830.91 : x
  2. Step 2: Convert to fraction form
    55,273.79/82,910.34 = 15,830.91/x
  3. Step 3: Cross multiply
    55,273.79x = 82,910.34 × 15,830.91
  4. Step 4: Simplify right side
    55,273.79x = 1,312,546,130.61
  5. Step 5: Solve for x
    x = 1,312,546,130.61/55,273.79
  6. Step 6: Final answer
    x = 23,746.27

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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.