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Finding the Fourth Proportional to 34,696.80, 52,045.32 and 8,401.48

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Solution

The fourth proportional to 34,696.80, 52,045.32 and 8,401.48 is: 12,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,696.80 : 52,045.32 = 8,401.48 : x
  2. Step 2: Convert to fraction form
    34,696.80/52,045.32 = 8,401.48/x
  3. Step 3: Cross multiply
    34,696.80x = 52,045.32 × 8,401.48
  4. Step 4: Simplify right side
    34,696.80x = 437,257,715.07
  5. Step 5: Solve for x
    x = 437,257,715.07/34,696.80
  6. Step 6: Final answer
    x = 12,602.25

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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.