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Finding the Fourth Proportional to 77,575.80, 116,363.58 and 24,993

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Solution

The fourth proportional to 77,575.80, 116,363.58 and 24,993 is: 37,489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,575.80 : 116,363.58 = 24,993 : x
  2. Step 2: Convert to fraction form
    77,575.80/116,363.58 = 24,993/x
  3. Step 3: Cross multiply
    77,575.80x = 116,363.58 × 24,993
  4. Step 4: Simplify right side
    77,575.80x = 2,908,274,954.94
  5. Step 5: Solve for x
    x = 2,908,274,954.94/77,575.80
  6. Step 6: Final answer
    x = 37,489.46

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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.