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Finding the Fourth Proportional to 84,761.88, 116,970.30 and 47,035.32

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Solution

The fourth proportional to 84,761.88, 116,970.30 and 47,035.32 is: 64,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,761.88 : 116,970.30 = 47,035.32 : x
  2. Step 2: Convert to fraction form
    84,761.88/116,970.30 = 47,035.32/x
  3. Step 3: Cross multiply
    84,761.88x = 116,970.30 × 47,035.32
  4. Step 4: Simplify right side
    84,761.88x = 5,501,735,491.00
  5. Step 5: Solve for x
    x = 5,501,735,491.00/84,761.88
  6. Step 6: Final answer
    x = 64,908.13

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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.