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Finding the Fourth Proportional to 89,091.96, 122,916.75 and 52,782.06

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Solution

The fourth proportional to 89,091.96, 122,916.75 and 52,782.06 is: 72,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,091.96 : 122,916.75 = 52,782.06 : x
  2. Step 2: Convert to fraction form
    89,091.96/122,916.75 = 52,782.06/x
  3. Step 3: Cross multiply
    89,091.96x = 122,916.75 × 52,782.06
  4. Step 4: Simplify right side
    89,091.96x = 6,487,799,273.51
  5. Step 5: Solve for x
    x = 6,487,799,273.51/89,091.96
  6. Step 6: Final answer
    x = 72,821.38

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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.