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Finding the Fourth Proportional to 35,709.52, 53,526.51 and 13,205.74

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Solution

The fourth proportional to 35,709.52, 53,526.51 and 13,205.74 is: 19,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,709.52 : 53,526.51 = 13,205.74 : x
  2. Step 2: Convert to fraction form
    35,709.52/53,526.51 = 13,205.74/x
  3. Step 3: Cross multiply
    35,709.52x = 53,526.51 × 13,205.74
  4. Step 4: Simplify right side
    35,709.52x = 706,856,906.53
  5. Step 5: Solve for x
    x = 706,856,906.53/35,709.52
  6. Step 6: Final answer
    x = 19,794.64

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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.