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Finding the Fourth Proportional to 82,833.92, 114,312.16 and 47,024.96

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Solution

The fourth proportional to 82,833.92, 114,312.16 and 47,024.96 is: 64,895.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,833.92 : 114,312.16 = 47,024.96 : x
  2. Step 2: Convert to fraction form
    82,833.92/114,312.16 = 47,024.96/x
  3. Step 3: Cross multiply
    82,833.92x = 114,312.16 × 47,024.96
  4. Step 4: Simplify right side
    82,833.92x = 5,375,524,751.51
  5. Step 5: Solve for x
    x = 5,375,524,751.51/82,833.92
  6. Step 6: Final answer
    x = 64,895.21

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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.