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Finding the Fourth Proportional to 30,715.54, 46,071.12 and 11,992.07

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Solution

The fourth proportional to 30,715.54, 46,071.12 and 11,992.07 is: 17,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,715.54 : 46,071.12 = 11,992.07 : x
  2. Step 2: Convert to fraction form
    30,715.54/46,071.12 = 11,992.07/x
  3. Step 3: Cross multiply
    30,715.54x = 46,071.12 × 11,992.07
  4. Step 4: Simplify right side
    30,715.54x = 552,488,096.02
  5. Step 5: Solve for x
    x = 552,488,096.02/30,715.54
  6. Step 6: Final answer
    x = 17,987.25

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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.