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Finding the Fourth Proportional to 75,901.94, 113,866.78 and 37,971.05

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Solution

The fourth proportional to 75,901.94, 113,866.78 and 37,971.05 is: 56,963.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,901.94 : 113,866.78 = 37,971.05 : x
  2. Step 2: Convert to fraction form
    75,901.94/113,866.78 = 37,971.05/x
  3. Step 3: Cross multiply
    75,901.94x = 113,866.78 × 37,971.05
  4. Step 4: Simplify right side
    75,901.94x = 4,323,640,627.39
  5. Step 5: Solve for x
    x = 4,323,640,627.39/75,901.94
  6. Step 6: Final answer
    x = 56,963.51

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1.5x scale

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.