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Finding the Fourth Proportional to 84,251.92, 116,267.72 and 46,012

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Solution

The fourth proportional to 84,251.92, 116,267.72 and 46,012 is: 63,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,251.92 : 116,267.72 = 46,012 : x
  2. Step 2: Convert to fraction form
    84,251.92/116,267.72 = 46,012/x
  3. Step 3: Cross multiply
    84,251.92x = 116,267.72 × 46,012
  4. Step 4: Simplify right side
    84,251.92x = 5,349,710,332.64
  5. Step 5: Solve for x
    x = 5,349,710,332.64/84,251.92
  6. Step 6: Final answer
    x = 63,496.60

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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.