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Finding the Fourth Proportional to 76,575.16, 114,862.74 and 34,993

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Solution

The fourth proportional to 76,575.16, 114,862.74 and 34,993 is: 52,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,575.16 : 114,862.74 = 34,993 : x
  2. Step 2: Convert to fraction form
    76,575.16/114,862.74 = 34,993/x
  3. Step 3: Cross multiply
    76,575.16x = 114,862.74 × 34,993
  4. Step 4: Simplify right side
    76,575.16x = 4,019,391,860.82
  5. Step 5: Solve for x
    x = 4,019,391,860.82/76,575.16
  6. Step 6: Final answer
    x = 52,489.50

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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.