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Finding the Fourth Proportional to 82,821.70, 114,293.82 and 45,095.92

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Solution

The fourth proportional to 82,821.70, 114,293.82 and 45,095.92 is: 62,232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,821.70 : 114,293.82 = 45,095.92 : x
  2. Step 2: Convert to fraction form
    82,821.70/114,293.82 = 45,095.92/x
  3. Step 3: Cross multiply
    82,821.70x = 114,293.82 × 45,095.92
  4. Step 4: Simplify right side
    82,821.70x = 5,154,184,963.21
  5. Step 5: Solve for x
    x = 5,154,184,963.21/82,821.70
  6. Step 6: Final answer
    x = 62,232.30

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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.