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Finding the Fourth Proportional to 76,471.47, 114,644.02 and 33,746.47

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Solution

The fourth proportional to 76,471.47, 114,644.02 and 33,746.47 is: 50,591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,471.47 : 114,644.02 = 33,746.47 : x
  2. Step 2: Convert to fraction form
    76,471.47/114,644.02 = 33,746.47/x
  3. Step 3: Cross multiply
    76,471.47x = 114,644.02 × 33,746.47
  4. Step 4: Simplify right side
    76,471.47x = 3,868,830,981.61
  5. Step 5: Solve for x
    x = 3,868,830,981.61/76,471.47
  6. Step 6: Final answer
    x = 50,591.82

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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.