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Finding the Fourth Proportional to 84,267, 116,288.46 and 46,543.68

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Solution

The fourth proportional to 84,267, 116,288.46 and 46,543.68 is: 64,230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,267 : 116,288.46 = 46,543.68 : x
  2. Step 2: Convert to fraction form
    84,267/116,288.46 = 46,543.68/x
  3. Step 3: Cross multiply
    84,267x = 116,288.46 × 46,543.68
  4. Step 4: Simplify right side
    84,267x = 5,412,492,869.93
  5. Step 5: Solve for x
    x = 5,412,492,869.93/84,267
  6. Step 6: Final answer
    x = 64,230.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.