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Finding the Fourth Proportional to 85,322.16, 117,689.76 and 51,788.16

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Solution

The fourth proportional to 85,322.16, 117,689.76 and 51,788.16 is: 71,434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,322.16 : 117,689.76 = 51,788.16 : x
  2. Step 2: Convert to fraction form
    85,322.16/117,689.76 = 51,788.16/x
  3. Step 3: Cross multiply
    85,322.16x = 117,689.76 × 51,788.16
  4. Step 4: Simplify right side
    85,322.16x = 6,094,936,121.24
  5. Step 5: Solve for x
    x = 6,094,936,121.24/85,322.16
  6. Step 6: Final answer
    x = 71,434.39

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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.