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Finding the Fourth Proportional to 81,877.82, 112,991.85 and 46,068.44

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Solution

The fourth proportional to 81,877.82, 112,991.85 and 46,068.44 is: 63,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,877.82 : 112,991.85 = 46,068.44 : x
  2. Step 2: Convert to fraction form
    81,877.82/112,991.85 = 46,068.44/x
  3. Step 3: Cross multiply
    81,877.82x = 112,991.85 × 46,068.44
  4. Step 4: Simplify right side
    81,877.82x = 5,205,357,697.25
  5. Step 5: Solve for x
    x = 5,205,357,697.25/81,877.82
  6. Step 6: Final answer
    x = 63,574.70

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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.