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Finding the Fourth Proportional to 50,965.88, 70,330.14 and 29,454.98

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Solution

The fourth proportional to 50,965.88, 70,330.14 and 29,454.98 is: 40,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,965.88 : 70,330.14 = 29,454.98 : x
  2. Step 2: Convert to fraction form
    50,965.88/70,330.14 = 29,454.98/x
  3. Step 3: Cross multiply
    50,965.88x = 70,330.14 × 29,454.98
  4. Step 4: Simplify right side
    50,965.88x = 2,071,572,515.45
  5. Step 5: Solve for x
    x = 2,071,572,515.45/50,965.88
  6. Step 6: Final answer
    x = 40,646.27

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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.