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Finding the Fourth Proportional to 70,924.54, 97,865.32 and 40,711.00

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Solution

The fourth proportional to 70,924.54, 97,865.32 and 40,711.00 is: 56,175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,924.54 : 97,865.32 = 40,711.00 : x
  2. Step 2: Convert to fraction form
    70,924.54/97,865.32 = 40,711.00/x
  3. Step 3: Cross multiply
    70,924.54x = 97,865.32 × 40,711.00
  4. Step 4: Simplify right side
    70,924.54x = 3,984,194,349.64
  5. Step 5: Solve for x
    x = 3,984,194,349.64/70,924.54
  6. Step 6: Final answer
    x = 56,175.12

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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.