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Finding the Fourth Proportional to 83,141.34, 114,730.74 and 47,331.24

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Solution

The fourth proportional to 83,141.34, 114,730.74 and 47,331.24 is: 65,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,141.34 : 114,730.74 = 47,331.24 : x
  2. Step 2: Convert to fraction form
    83,141.34/114,730.74 = 47,331.24/x
  3. Step 3: Cross multiply
    83,141.34x = 114,730.74 × 47,331.24
  4. Step 4: Simplify right side
    83,141.34x = 5,430,348,190.32
  5. Step 5: Solve for x
    x = 5,430,348,190.32/83,141.34
  6. Step 6: Final answer
    x = 65,314.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.