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Finding the Fourth Proportional to 30,507.81, 45,750.99 and 9,154.16

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Solution

The fourth proportional to 30,507.81, 45,750.99 and 9,154.16 is: 13,728.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,507.81 : 45,750.99 = 9,154.16 : x
  2. Step 2: Convert to fraction form
    30,507.81/45,750.99 = 9,154.16/x
  3. Step 3: Cross multiply
    30,507.81x = 45,750.99 × 9,154.16
  4. Step 4: Simplify right side
    30,507.81x = 418,811,882.62
  5. Step 5: Solve for x
    x = 418,811,882.62/30,507.81
  6. Step 6: Final answer
    x = 13,728.02

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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.