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Finding the Fourth Proportional to 42,683.49, 58,904.82 and 23,824.26

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Solution

The fourth proportional to 42,683.49, 58,904.82 and 23,824.26 is: 32,878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,683.49 : 58,904.82 = 23,824.26 : x
  2. Step 2: Convert to fraction form
    42,683.49/58,904.82 = 23,824.26/x
  3. Step 3: Cross multiply
    42,683.49x = 58,904.82 × 23,824.26
  4. Step 4: Simplify right side
    42,683.49x = 1,403,363,746.93
  5. Step 5: Solve for x
    x = 1,403,363,746.93/42,683.49
  6. Step 6: Final answer
    x = 32,878.37

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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.