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Finding the Fourth Proportional to 30,678.88, 46,028.04 and 9,904

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Solution

The fourth proportional to 30,678.88, 46,028.04 and 9,904 is: 14,859.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.88 : 46,028.04 = 9,904 : x
  2. Step 2: Convert to fraction form
    30,678.88/46,028.04 = 9,904/x
  3. Step 3: Cross multiply
    30,678.88x = 46,028.04 × 9,904
  4. Step 4: Simplify right side
    30,678.88x = 455,861,708.16
  5. Step 5: Solve for x
    x = 455,861,708.16/30,678.88
  6. Step 6: Final answer
    x = 14,859.14

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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.