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Finding the Fourth Proportional to 70,566.76, 97,365.54 and 40,753

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Solution

The fourth proportional to 70,566.76, 97,365.54 and 40,753 is: 56,229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,566.76 : 97,365.54 = 40,753 : x
  2. Step 2: Convert to fraction form
    70,566.76/97,365.54 = 40,753/x
  3. Step 3: Cross multiply
    70,566.76x = 97,365.54 × 40,753
  4. Step 4: Simplify right side
    70,566.76x = 3,967,937,851.62
  5. Step 5: Solve for x
    x = 3,967,937,851.62/70,566.76
  6. Step 6: Final answer
    x = 56,229.56

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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.