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Finding the Fourth Proportional to 35,314.56, 52,973.28 and 9,019.68

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Solution

The fourth proportional to 35,314.56, 52,973.28 and 9,019.68 is: 13,529.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,314.56 : 52,973.28 = 9,019.68 : x
  2. Step 2: Convert to fraction form
    35,314.56/52,973.28 = 9,019.68/x
  3. Step 3: Cross multiply
    35,314.56x = 52,973.28 × 9,019.68
  4. Step 4: Simplify right side
    35,314.56x = 477,802,034.15
  5. Step 5: Solve for x
    x = 477,802,034.15/35,314.56
  6. Step 6: Final answer
    x = 13,529.89

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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.