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Finding the Fourth Proportional to 76,575.66, 114,863.49 and 34,993.50

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Solution

The fourth proportional to 76,575.66, 114,863.49 and 34,993.50 is: 52,490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,575.66 : 114,863.49 = 34,993.50 : x
  2. Step 2: Convert to fraction form
    76,575.66/114,863.49 = 34,993.50/x
  3. Step 3: Cross multiply
    76,575.66x = 114,863.49 × 34,993.50
  4. Step 4: Simplify right side
    76,575.66x = 4,019,475,537.32
  5. Step 5: Solve for x
    x = 4,019,475,537.32/76,575.66
  6. Step 6: Final answer
    x = 52,490.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.