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Finding the Fourth Proportional to 35,455, 53,197.74 and 13,265.56

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Solution

The fourth proportional to 35,455, 53,197.74 and 13,265.56 is: 19,904.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,455 : 53,197.74 = 13,265.56 : x
  2. Step 2: Convert to fraction form
    35,455/53,197.74 = 13,265.56/x
  3. Step 3: Cross multiply
    35,455x = 53,197.74 × 13,265.56
  4. Step 4: Simplify right side
    35,455x = 705,697,811.83
  5. Step 5: Solve for x
    x = 705,697,811.83/35,455
  6. Step 6: Final answer
    x = 19,904.04

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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.