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Finding the Fourth Proportional to 30,476.38, 45,715.58 and 10,485.68

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Solution

The fourth proportional to 30,476.38, 45,715.58 and 10,485.68 is: 15,728.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.38 : 45,715.58 = 10,485.68 : x
  2. Step 2: Convert to fraction form
    30,476.38/45,715.58 = 10,485.68/x
  3. Step 3: Cross multiply
    30,476.38x = 45,715.58 × 10,485.68
  4. Step 4: Simplify right side
    30,476.38x = 479,358,942.89
  5. Step 5: Solve for x
    x = 479,358,942.89/30,476.38
  6. Step 6: Final answer
    x = 15,728.87

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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.