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Finding the Fourth Proportional to 70,668.77, 97,524.74 and 38,838.50

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Solution

The fourth proportional to 70,668.77, 97,524.74 and 38,838.50 is: 53,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,668.77 : 97,524.74 = 38,838.50 : x
  2. Step 2: Convert to fraction form
    70,668.77/97,524.74 = 38,838.50/x
  3. Step 3: Cross multiply
    70,668.77x = 97,524.74 × 38,838.50
  4. Step 4: Simplify right side
    70,668.77x = 3,787,714,589.68
  5. Step 5: Solve for x
    x = 3,787,714,589.68/70,668.77
  6. Step 6: Final answer
    x = 53,598.14

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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.