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Finding the Fourth Proportional to 82,834.90, 114,305.42 and 46,534.37

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Solution

The fourth proportional to 82,834.90, 114,305.42 and 46,534.37 is: 64,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,834.90 : 114,305.42 = 46,534.37 : x
  2. Step 2: Convert to fraction form
    82,834.90/114,305.42 = 46,534.37/x
  3. Step 3: Cross multiply
    82,834.90x = 114,305.42 × 46,534.37
  4. Step 4: Simplify right side
    82,834.90x = 5,319,130,474.61
  5. Step 5: Solve for x
    x = 5,319,130,474.61/82,834.90
  6. Step 6: Final answer
    x = 64,213.64

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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.