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Finding the Fourth Proportional to 70,769.86, 97,580.58 and 56,418.46

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Solution

The fourth proportional to 70,769.86, 97,580.58 and 56,418.46 is: 77,792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,769.86 : 97,580.58 = 56,418.46 : x
  2. Step 2: Convert to fraction form
    70,769.86/97,580.58 = 56,418.46/x
  3. Step 3: Cross multiply
    70,769.86x = 97,580.58 × 56,418.46
  4. Step 4: Simplify right side
    70,769.86x = 5,505,346,049.51
  5. Step 5: Solve for x
    x = 5,505,346,049.51/70,769.86
  6. Step 6: Final answer
    x = 77,792.24

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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.