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Finding the Fourth Proportional to 70,849.60, 97,771.80 and 39,017.82

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Solution

The fourth proportional to 70,849.60, 97,771.80 and 39,017.82 is: 53,844.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,849.60 : 97,771.80 = 39,017.82 : x
  2. Step 2: Convert to fraction form
    70,849.60/97,771.80 = 39,017.82/x
  3. Step 3: Cross multiply
    70,849.60x = 97,771.80 × 39,017.82
  4. Step 4: Simplify right side
    70,849.60x = 3,814,842,493.48
  5. Step 5: Solve for x
    x = 3,814,842,493.48/70,849.60
  6. Step 6: Final answer
    x = 53,844.23

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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.