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Finding the Fourth Proportional to 35,409.42, 53,114.14 and 11,710.61

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Solution

The fourth proportional to 35,409.42, 53,114.14 and 11,710.61 is: 17,565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,409.42 : 53,114.14 = 11,710.61 : x
  2. Step 2: Convert to fraction form
    35,409.42/53,114.14 = 11,710.61/x
  3. Step 3: Cross multiply
    35,409.42x = 53,114.14 × 11,710.61
  4. Step 4: Simplify right side
    35,409.42x = 621,998,685.31
  5. Step 5: Solve for x
    x = 621,998,685.31/35,409.42
  6. Step 6: Final answer
    x = 17,565.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.