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Finding the Fourth Proportional to 76,796.74, 105,979.98 and 42,807.38

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Solution

The fourth proportional to 76,796.74, 105,979.98 and 42,807.38 is: 59,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,796.74 : 105,979.98 = 42,807.38 : x
  2. Step 2: Convert to fraction form
    76,796.74/105,979.98 = 42,807.38/x
  3. Step 3: Cross multiply
    76,796.74x = 105,979.98 × 42,807.38
  4. Step 4: Simplify right side
    76,796.74x = 4,536,724,746.35
  5. Step 5: Solve for x
    x = 4,536,724,746.35/76,796.74
  6. Step 6: Final answer
    x = 59,074.45

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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.