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Finding the Fourth Proportional to 70,818.71, 106,293.67 and 35,782.97

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Solution

The fourth proportional to 70,818.71, 106,293.67 and 35,782.97 is: 53,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,818.71 : 106,293.67 = 35,782.97 : x
  2. Step 2: Convert to fraction form
    70,818.71/106,293.67 = 35,782.97/x
  3. Step 3: Cross multiply
    70,818.71x = 106,293.67 × 35,782.97
  4. Step 4: Simplify right side
    70,818.71x = 3,803,502,583.87
  5. Step 5: Solve for x
    x = 3,803,502,583.87/70,818.71
  6. Step 6: Final answer
    x = 53,707.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.