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Finding the Fourth Proportional to 86,083.76, 118,795.50 and 47,842.10

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Solution

The fourth proportional to 86,083.76, 118,795.50 and 47,842.10 is: 66,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,083.76 : 118,795.50 = 47,842.10 : x
  2. Step 2: Convert to fraction form
    86,083.76/118,795.50 = 47,842.10/x
  3. Step 3: Cross multiply
    86,083.76x = 118,795.50 × 47,842.10
  4. Step 4: Simplify right side
    86,083.76x = 5,683,426,190.55
  5. Step 5: Solve for x
    x = 5,683,426,190.55/86,083.76
  6. Step 6: Final answer
    x = 66,022.05

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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.