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Finding the Fourth Proportional to 35,465.19, 53,197.82 and 8,811.15

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Solution

The fourth proportional to 35,465.19, 53,197.82 and 8,811.15 is: 13,216.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,465.19 : 53,197.82 = 8,811.15 : x
  2. Step 2: Convert to fraction form
    35,465.19/53,197.82 = 8,811.15/x
  3. Step 3: Cross multiply
    35,465.19x = 53,197.82 × 8,811.15
  4. Step 4: Simplify right side
    35,465.19x = 468,733,971.69
  5. Step 5: Solve for x
    x = 468,733,971.69/35,465.19
  6. Step 6: Final answer
    x = 13,216.73

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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.