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Finding the Fourth Proportional to 35,409.67, 53,114.51 and 11,710.86

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Solution

The fourth proportional to 35,409.67, 53,114.51 and 11,710.86 is: 17,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,409.67 : 53,114.51 = 11,710.86 : x
  2. Step 2: Convert to fraction form
    35,409.67/53,114.51 = 11,710.86/x
  3. Step 3: Cross multiply
    35,409.67x = 53,114.51 × 11,710.86
  4. Step 4: Simplify right side
    35,409.67x = 622,016,325.01
  5. Step 5: Solve for x
    x = 622,016,325.01/35,409.67
  6. Step 6: Final answer
    x = 17,566.28

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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.