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Finding the Fourth Proportional to 35,302.32, 52,960 and 11,611.20

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Solution

The fourth proportional to 35,302.32, 52,960 and 11,611.20 is: 17,418.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,302.32 : 52,960 = 11,611.20 : x
  2. Step 2: Convert to fraction form
    35,302.32/52,960 = 11,611.20/x
  3. Step 3: Cross multiply
    35,302.32x = 52,960 × 11,611.20
  4. Step 4: Simplify right side
    35,302.32x = 614,929,152
  5. Step 5: Solve for x
    x = 614,929,152/35,302.32
  6. Step 6: Final answer
    x = 17,418.94

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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.