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Finding the Fourth Proportional to 92,305.82, 127,318.78 and 56,513.51

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Solution

The fourth proportional to 92,305.82, 127,318.78 and 56,513.51 is: 77,949.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,305.82 : 127,318.78 = 56,513.51 : x
  2. Step 2: Convert to fraction form
    92,305.82/127,318.78 = 56,513.51/x
  3. Step 3: Cross multiply
    92,305.82x = 127,318.78 × 56,513.51
  4. Step 4: Simplify right side
    92,305.82x = 7,195,231,146.72
  5. Step 5: Solve for x
    x = 7,195,231,146.72/92,305.82
  6. Step 6: Final answer
    x = 77,949.92

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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.