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Finding the Fourth Proportional to 117,632.47, 162,314.54 and 69,884.59

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Solution

The fourth proportional to 117,632.47, 162,314.54 and 69,884.59 is: 96,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,632.47 : 162,314.54 = 69,884.59 : x
  2. Step 2: Convert to fraction form
    117,632.47/162,314.54 = 69,884.59/x
  3. Step 3: Cross multiply
    117,632.47x = 162,314.54 × 69,884.59
  4. Step 4: Simplify right side
    117,632.47x = 11,343,284,729.52
  5. Step 5: Solve for x
    x = 11,343,284,729.52/117,632.47
  6. Step 6: Final answer
    x = 96,429.88

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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.