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Finding the Fourth Proportional to 70,253.64, 105,277.41 and 41,762.52

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Solution

The fourth proportional to 70,253.64, 105,277.41 and 41,762.52 is: 62,582.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,253.64 : 105,277.41 = 41,762.52 : x
  2. Step 2: Convert to fraction form
    70,253.64/105,277.41 = 41,762.52/x
  3. Step 3: Cross multiply
    70,253.64x = 105,277.41 × 41,762.52
  4. Step 4: Simplify right side
    70,253.64x = 4,396,649,940.67
  5. Step 5: Solve for x
    x = 4,396,649,940.67/70,253.64
  6. Step 6: Final answer
    x = 62,582.52

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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.