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Finding the Fourth Proportional to 35,889.83, 53,830.62 and 9,596.69

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Solution

The fourth proportional to 35,889.83, 53,830.62 and 9,596.69 is: 14,393.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,889.83 : 53,830.62 = 9,596.69 : x
  2. Step 2: Convert to fraction form
    35,889.83/53,830.62 = 9,596.69/x
  3. Step 3: Cross multiply
    35,889.83x = 53,830.62 × 9,596.69
  4. Step 4: Simplify right side
    35,889.83x = 516,595,503.49
  5. Step 5: Solve for x
    x = 516,595,503.49/35,889.83
  6. Step 6: Final answer
    x = 14,393.93

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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.