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Finding the Fourth Proportional to 35,606.64, 53,409.89 and 13,424.99

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Solution

The fourth proportional to 35,606.64, 53,409.89 and 13,424.99 is: 20,137.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,606.64 : 53,409.89 = 13,424.99 : x
  2. Step 2: Convert to fraction form
    35,606.64/53,409.89 = 13,424.99/x
  3. Step 3: Cross multiply
    35,606.64x = 53,409.89 × 13,424.99
  4. Step 4: Simplify right side
    35,606.64x = 717,027,406.24
  5. Step 5: Solve for x
    x = 717,027,406.24/35,606.64
  6. Step 6: Final answer
    x = 20,137.46

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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.