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Finding the Fourth Proportional to 74,271.88, 102,493.80 and 42,005.94

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Solution

The fourth proportional to 74,271.88, 102,493.80 and 42,005.94 is: 57,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,271.88 : 102,493.80 = 42,005.94 : x
  2. Step 2: Convert to fraction form
    74,271.88/102,493.80 = 42,005.94/x
  3. Step 3: Cross multiply
    74,271.88x = 102,493.80 × 42,005.94
  4. Step 4: Simplify right side
    74,271.88x = 4,305,348,413.17
  5. Step 5: Solve for x
    x = 4,305,348,413.17/74,271.88
  6. Step 6: Final answer
    x = 57,967.41

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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.