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Finding the Fourth Proportional to 42,413.63, 58,538.01 and 24,519.01

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Solution

The fourth proportional to 42,413.63, 58,538.01 and 24,519.01 is: 33,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,413.63 : 58,538.01 = 24,519.01 : x
  2. Step 2: Convert to fraction form
    42,413.63/58,538.01 = 24,519.01/x
  3. Step 3: Cross multiply
    42,413.63x = 58,538.01 × 24,519.01
  4. Step 4: Simplify right side
    42,413.63x = 1,435,293,637.29
  5. Step 5: Solve for x
    x = 1,435,293,637.29/42,413.63
  6. Step 6: Final answer
    x = 33,840.39

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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.