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Finding the Fourth Proportional to 82,991.76, 114,525.16 and 45,263.76

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Solution

The fourth proportional to 82,991.76, 114,525.16 and 45,263.76 is: 62,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,991.76 : 114,525.16 = 45,263.76 : x
  2. Step 2: Convert to fraction form
    82,991.76/114,525.16 = 45,263.76/x
  3. Step 3: Cross multiply
    82,991.76x = 114,525.16 × 45,263.76
  4. Step 4: Simplify right side
    82,991.76x = 5,183,839,356.20
  5. Step 5: Solve for x
    x = 5,183,839,356.20/82,991.76
  6. Step 6: Final answer
    x = 62,462.10

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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.