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Finding the Fourth Proportional to 45,881.98, 63,317.76 and 27,730.22

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Solution

The fourth proportional to 45,881.98, 63,317.76 and 27,730.22 is: 38,268.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,881.98 : 63,317.76 = 27,730.22 : x
  2. Step 2: Convert to fraction form
    45,881.98/63,317.76 = 27,730.22/x
  3. Step 3: Cross multiply
    45,881.98x = 63,317.76 × 27,730.22
  4. Step 4: Simplify right side
    45,881.98x = 1,755,815,414.71
  5. Step 5: Solve for x
    x = 1,755,815,414.71/45,881.98
  6. Step 6: Final answer
    x = 38,268.08

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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.