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Finding the Fourth Proportional to 35,689.58, 53,513.61 and 13,504.67

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Solution

The fourth proportional to 35,689.58, 53,513.61 and 13,504.67 is: 20,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,689.58 : 53,513.61 = 13,504.67 : x
  2. Step 2: Convert to fraction form
    35,689.58/53,513.61 = 13,504.67/x
  3. Step 3: Cross multiply
    35,689.58x = 53,513.61 × 13,504.67
  4. Step 4: Simplify right side
    35,689.58x = 722,683,375.99
  5. Step 5: Solve for x
    x = 722,683,375.99/35,689.58
  6. Step 6: Final answer
    x = 20,249.14

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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.