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Finding the Fourth Proportional to 35,411.95, 53,085.12 and 17,861.41

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Solution

The fourth proportional to 35,411.95, 53,085.12 and 17,861.41 is: 26,775.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,411.95 : 53,085.12 = 17,861.41 : x
  2. Step 2: Convert to fraction form
    35,411.95/53,085.12 = 17,861.41/x
  3. Step 3: Cross multiply
    35,411.95x = 53,085.12 × 17,861.41
  4. Step 4: Simplify right side
    35,411.95x = 948,175,093.22
  5. Step 5: Solve for x
    x = 948,175,093.22/35,411.95
  6. Step 6: Final answer
    x = 26,775.57

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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.