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Finding the Fourth Proportional to 74,616.12, 102,980.07 and 42,778.80

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Solution

The fourth proportional to 74,616.12, 102,980.07 and 42,778.80 is: 59,040.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,616.12 : 102,980.07 = 42,778.80 : x
  2. Step 2: Convert to fraction form
    74,616.12/102,980.07 = 42,778.80/x
  3. Step 3: Cross multiply
    74,616.12x = 102,980.07 × 42,778.80
  4. Step 4: Simplify right side
    74,616.12x = 4,405,363,818.52
  5. Step 5: Solve for x
    x = 4,405,363,818.52/74,616.12
  6. Step 6: Final answer
    x = 59,040.38

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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.