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Finding the Fourth Proportional to 42,258.96, 58,317.17 and 22,877.82

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Solution

The fourth proportional to 42,258.96, 58,317.17 and 22,877.82 is: 31,571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,258.96 : 58,317.17 = 22,877.82 : x
  2. Step 2: Convert to fraction form
    42,258.96/58,317.17 = 22,877.82/x
  3. Step 3: Cross multiply
    42,258.96x = 58,317.17 × 22,877.82
  4. Step 4: Simplify right side
    42,258.96x = 1,334,169,603.78
  5. Step 5: Solve for x
    x = 1,334,169,603.78/42,258.96
  6. Step 6: Final answer
    x = 31,571.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.