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Finding the Fourth Proportional to 82,957, 114,441.18 and 56,108.92

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Solution

The fourth proportional to 82,957, 114,441.18 and 56,108.92 is: 77,403.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,957 : 114,441.18 = 56,108.92 : x
  2. Step 2: Convert to fraction form
    82,957/114,441.18 = 56,108.92/x
  3. Step 3: Cross multiply
    82,957x = 114,441.18 × 56,108.92
  4. Step 4: Simplify right side
    82,957x = 6,421,171,013.33
  5. Step 5: Solve for x
    x = 6,421,171,013.33/82,957
  6. Step 6: Final answer
    x = 77,403.61

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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.