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Finding the Fourth Proportional to 35,895.02, 53,838.42 and 9,601.80

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Solution

The fourth proportional to 35,895.02, 53,838.42 and 9,601.80 is: 14,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,895.02 : 53,838.42 = 9,601.80 : x
  2. Step 2: Convert to fraction form
    35,895.02/53,838.42 = 9,601.80/x
  3. Step 3: Cross multiply
    35,895.02x = 53,838.42 × 9,601.80
  4. Step 4: Simplify right side
    35,895.02x = 516,945,741.16
  5. Step 5: Solve for x
    x = 516,945,741.16/35,895.02
  6. Step 6: Final answer
    x = 14,401.60

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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.