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Finding the Fourth Proportional to 70,859.53, 97,784.31 and 40,662.46

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Solution

The fourth proportional to 70,859.53, 97,784.31 and 40,662.46 is: 56,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,859.53 : 97,784.31 = 40,662.46 : x
  2. Step 2: Convert to fraction form
    70,859.53/97,784.31 = 40,662.46/x
  3. Step 3: Cross multiply
    70,859.53x = 97,784.31 × 40,662.46
  4. Step 4: Simplify right side
    70,859.53x = 3,976,150,594.00
  5. Step 5: Solve for x
    x = 3,976,150,594.00/70,859.53
  6. Step 6: Final answer
    x = 56,113.14

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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.