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Finding the Fourth Proportional to 30,064.14, 45,096.81 and 9,287.64

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Solution

The fourth proportional to 30,064.14, 45,096.81 and 9,287.64 is: 13,931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,064.14 : 45,096.81 = 9,287.64 : x
  2. Step 2: Convert to fraction form
    30,064.14/45,096.81 = 9,287.64/x
  3. Step 3: Cross multiply
    30,064.14x = 45,096.81 × 9,287.64
  4. Step 4: Simplify right side
    30,064.14x = 418,842,936.43
  5. Step 5: Solve for x
    x = 418,842,936.43/30,064.14
  6. Step 6: Final answer
    x = 13,931.65

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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.