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Finding the Fourth Proportional to 70,768.34, 97,662.64 and 40,559.45

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Solution

The fourth proportional to 70,768.34, 97,662.64 and 40,559.45 is: 55,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,768.34 : 97,662.64 = 40,559.45 : x
  2. Step 2: Convert to fraction form
    70,768.34/97,662.64 = 40,559.45/x
  3. Step 3: Cross multiply
    70,768.34x = 97,662.64 × 40,559.45
  4. Step 4: Simplify right side
    70,768.34x = 3,961,142,963.95
  5. Step 5: Solve for x
    x = 3,961,142,963.95/70,768.34
  6. Step 6: Final answer
    x = 55,973.38

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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.