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Finding the Fourth Proportional to 56,305.94, 77,702.22 and 35,085.29

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Solution

The fourth proportional to 56,305.94, 77,702.22 and 35,085.29 is: 48,417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,305.94 : 77,702.22 = 35,085.29 : x
  2. Step 2: Convert to fraction form
    56,305.94/77,702.22 = 35,085.29/x
  3. Step 3: Cross multiply
    56,305.94x = 77,702.22 × 35,085.29
  4. Step 4: Simplify right side
    56,305.94x = 2,726,204,533.83
  5. Step 5: Solve for x
    x = 2,726,204,533.83/56,305.94
  6. Step 6: Final answer
    x = 48,417.71

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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.