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Finding the Fourth Proportional to 84,759.76, 116,969.16 and 47,034.64

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Solution

The fourth proportional to 84,759.76, 116,969.16 and 47,034.64 is: 64,908.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,759.76 : 116,969.16 = 47,034.64 : x
  2. Step 2: Convert to fraction form
    84,759.76/116,969.16 = 47,034.64/x
  3. Step 3: Cross multiply
    84,759.76x = 116,969.16 × 47,034.64
  4. Step 4: Simplify right side
    84,759.76x = 5,501,602,331.70
  5. Step 5: Solve for x
    x = 5,501,602,331.70/84,759.76
  6. Step 6: Final answer
    x = 64,908.19

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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.