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Finding the Fourth Proportional to 35,751.83, 53,684.99 and 29,498.22

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Solution

The fourth proportional to 35,751.83, 53,684.99 and 29,498.22 is: 44,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,751.83 : 53,684.99 = 29,498.22 : x
  2. Step 2: Convert to fraction form
    35,751.83/53,684.99 = 29,498.22/x
  3. Step 3: Cross multiply
    35,751.83x = 53,684.99 × 29,498.22
  4. Step 4: Simplify right side
    35,751.83x = 1,583,611,719.46
  5. Step 5: Solve for x
    x = 1,583,611,719.46/35,751.83
  6. Step 6: Final answer
    x = 44,294.57

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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.