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Finding the Fourth Proportional to 63,041.76, 86,990.76 and 34,742

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Solution

The fourth proportional to 63,041.76, 86,990.76 and 34,742 is: 47,940.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,041.76 : 86,990.76 = 34,742 : x
  2. Step 2: Convert to fraction form
    63,041.76/86,990.76 = 34,742/x
  3. Step 3: Cross multiply
    63,041.76x = 86,990.76 × 34,742
  4. Step 4: Simplify right side
    63,041.76x = 3,022,232,983.92
  5. Step 5: Solve for x
    x = 3,022,232,983.92/63,041.76
  6. Step 6: Final answer
    x = 47,940.17

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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.