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Finding the Fourth Proportional to 76,314.97, 105,310.95 and 42,324.80

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Solution

The fourth proportional to 76,314.97, 105,310.95 and 42,324.80 is: 58,406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,314.97 : 105,310.95 = 42,324.80 : x
  2. Step 2: Convert to fraction form
    76,314.97/105,310.95 = 42,324.80/x
  3. Step 3: Cross multiply
    76,314.97x = 105,310.95 × 42,324.80
  4. Step 4: Simplify right side
    76,314.97x = 4,457,264,896.56
  5. Step 5: Solve for x
    x = 4,457,264,896.56/76,314.97
  6. Step 6: Final answer
    x = 58,406.17

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1.5x scale

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.