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Finding the Fourth Proportional to 61,333.57, 84,627.92 and 35,835

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Solution

The fourth proportional to 61,333.57, 84,627.92 and 35,835 is: 49,445.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,333.57 : 84,627.92 = 35,835 : x
  2. Step 2: Convert to fraction form
    61,333.57/84,627.92 = 35,835/x
  3. Step 3: Cross multiply
    61,333.57x = 84,627.92 × 35,835
  4. Step 4: Simplify right side
    61,333.57x = 3,032,641,513.20
  5. Step 5: Solve for x
    x = 3,032,641,513.20/61,333.57
  6. Step 6: Final answer
    x = 49,445.06

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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.