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Finding the Fourth Proportional to 35,776.94, 53,663.69 and 13,588.59

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Solution

The fourth proportional to 35,776.94, 53,663.69 and 13,588.59 is: 20,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,776.94 : 53,663.69 = 13,588.59 : x
  2. Step 2: Convert to fraction form
    35,776.94/53,663.69 = 13,588.59/x
  3. Step 3: Cross multiply
    35,776.94x = 53,663.69 × 13,588.59
  4. Step 4: Simplify right side
    35,776.94x = 729,213,625.50
  5. Step 5: Solve for x
    x = 729,213,625.50/35,776.94
  6. Step 6: Final answer
    x = 20,382.22

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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.