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Finding the Fourth Proportional to 38,510.76, 53,145 and 22,595.52

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Solution

The fourth proportional to 38,510.76, 53,145 and 22,595.52 is: 31,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,510.76 : 53,145 = 22,595.52 : x
  2. Step 2: Convert to fraction form
    38,510.76/53,145 = 22,595.52/x
  3. Step 3: Cross multiply
    38,510.76x = 53,145 × 22,595.52
  4. Step 4: Simplify right side
    38,510.76x = 1,200,838,910.40
  5. Step 5: Solve for x
    x = 1,200,838,910.40/38,510.76
  6. Step 6: Final answer
    x = 31,181.91

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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.