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Finding the Fourth Proportional to 30,992.76, 46,492.22 and 9,927.51

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Solution

The fourth proportional to 30,992.76, 46,492.22 and 9,927.51 is: 14,892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.76 : 46,492.22 = 9,927.51 : x
  2. Step 2: Convert to fraction form
    30,992.76/46,492.22 = 9,927.51/x
  3. Step 3: Cross multiply
    30,992.76x = 46,492.22 × 9,927.51
  4. Step 4: Simplify right side
    30,992.76x = 461,551,978.97
  5. Step 5: Solve for x
    x = 461,551,978.97/30,992.76
  6. Step 6: Final answer
    x = 14,892.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.