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Finding the Fourth Proportional to 35,600.70, 53,399.53 and 8,946.64

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Solution

The fourth proportional to 35,600.70, 53,399.53 and 8,946.64 is: 13,419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,600.70 : 53,399.53 = 8,946.64 : x
  2. Step 2: Convert to fraction form
    35,600.70/53,399.53 = 8,946.64/x
  3. Step 3: Cross multiply
    35,600.70x = 53,399.53 × 8,946.64
  4. Step 4: Simplify right side
    35,600.70x = 477,746,371.08
  5. Step 5: Solve for x
    x = 477,746,371.08/35,600.70
  6. Step 6: Final answer
    x = 13,419.58

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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.