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Finding the Fourth Proportional to 30,773.96, 46,160 and 12,048.72

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Solution

The fourth proportional to 30,773.96, 46,160 and 12,048.72 is: 18,072.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,773.96 : 46,160 = 12,048.72 : x
  2. Step 2: Convert to fraction form
    30,773.96/46,160 = 12,048.72/x
  3. Step 3: Cross multiply
    30,773.96x = 46,160 × 12,048.72
  4. Step 4: Simplify right side
    30,773.96x = 556,168,915.20
  5. Step 5: Solve for x
    x = 556,168,915.20/30,773.96
  6. Step 6: Final answer
    x = 18,072.71

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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.