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Finding the Fourth Proportional to 72,818.84, 100,469.70 and 46,966.45

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Solution

The fourth proportional to 72,818.84, 100,469.70 and 46,966.45 is: 64,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,818.84 : 100,469.70 = 46,966.45 : x
  2. Step 2: Convert to fraction form
    72,818.84/100,469.70 = 46,966.45/x
  3. Step 3: Cross multiply
    72,818.84x = 100,469.70 × 46,966.45
  4. Step 4: Simplify right side
    72,818.84x = 4,718,705,141.57
  5. Step 5: Solve for x
    x = 4,718,705,141.57/72,818.84
  6. Step 6: Final answer
    x = 64,800.61

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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.