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Finding the Fourth Proportional to 42,893.29, 64,413.74 and 41,048.01

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Solution

The fourth proportional to 42,893.29, 64,413.74 and 41,048.01 is: 61,642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,893.29 : 64,413.74 = 41,048.01 : x
  2. Step 2: Convert to fraction form
    42,893.29/64,413.74 = 41,048.01/x
  3. Step 3: Cross multiply
    42,893.29x = 64,413.74 × 41,048.01
  4. Step 4: Simplify right side
    42,893.29x = 2,644,055,946.28
  5. Step 5: Solve for x
    x = 2,644,055,946.28/42,893.29
  6. Step 6: Final answer
    x = 61,642.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.