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Finding the Fourth Proportional to 84,272.06, 116,294.70 and 46,545.50

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Solution

The fourth proportional to 84,272.06, 116,294.70 and 46,545.50 is: 64,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,272.06 : 116,294.70 = 46,545.50 : x
  2. Step 2: Convert to fraction form
    84,272.06/116,294.70 = 46,545.50/x
  3. Step 3: Cross multiply
    84,272.06x = 116,294.70 × 46,545.50
  4. Step 4: Simplify right side
    84,272.06x = 5,412,994,958.85
  5. Step 5: Solve for x
    x = 5,412,994,958.85/84,272.06
  6. Step 6: Final answer
    x = 64,232.38

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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.