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Finding the Fourth Proportional to 65,903.83, 90,946.83 and 35,688.46

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Solution

The fourth proportional to 65,903.83, 90,946.83 and 35,688.46 is: 49,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,903.83 : 90,946.83 = 35,688.46 : x
  2. Step 2: Convert to fraction form
    65,903.83/90,946.83 = 35,688.46/x
  3. Step 3: Cross multiply
    65,903.83x = 90,946.83 × 35,688.46
  4. Step 4: Simplify right side
    65,903.83x = 3,245,751,943.38
  5. Step 5: Solve for x
    x = 3,245,751,943.38/65,903.83
  6. Step 6: Final answer
    x = 49,249.82

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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.