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Finding the Fourth Proportional to 34,894.94, 52,322.51 and 23,815.04

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Solution

The fourth proportional to 34,894.94, 52,322.51 and 23,815.04 is: 35,708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,894.94 : 52,322.51 = 23,815.04 : x
  2. Step 2: Convert to fraction form
    34,894.94/52,322.51 = 23,815.04/x
  3. Step 3: Cross multiply
    34,894.94x = 52,322.51 × 23,815.04
  4. Step 4: Simplify right side
    34,894.94x = 1,246,062,466.48
  5. Step 5: Solve for x
    x = 1,246,062,466.48/34,894.94
  6. Step 6: Final answer
    x = 35,708.98

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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.