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Finding the Fourth Proportional to 70,566.28, 97,366.26 and 40,741

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Solution

The fourth proportional to 70,566.28, 97,366.26 and 40,741 is: 56,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,566.28 : 97,366.26 = 40,741 : x
  2. Step 2: Convert to fraction form
    70,566.28/97,366.26 = 40,741/x
  3. Step 3: Cross multiply
    70,566.28x = 97,366.26 × 40,741
  4. Step 4: Simplify right side
    70,566.28x = 3,966,798,798.66
  5. Step 5: Solve for x
    x = 3,966,798,798.66/70,566.28
  6. Step 6: Final answer
    x = 56,213.80

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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.