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Finding the Fourth Proportional to 34,957.16, 52,435.23 and 8,661.72

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Solution

The fourth proportional to 34,957.16, 52,435.23 and 8,661.72 is: 12,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,957.16 : 52,435.23 = 8,661.72 : x
  2. Step 2: Convert to fraction form
    34,957.16/52,435.23 = 8,661.72/x
  3. Step 3: Cross multiply
    34,957.16x = 52,435.23 × 8,661.72
  4. Step 4: Simplify right side
    34,957.16x = 454,179,280.40
  5. Step 5: Solve for x
    x = 454,179,280.40/34,957.16
  6. Step 6: Final answer
    x = 12,992.45

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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.