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Finding the Fourth Proportional to 30,557.68, 45,838.08 and 9,512.08

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Solution

The fourth proportional to 30,557.68, 45,838.08 and 9,512.08 is: 14,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,557.68 : 45,838.08 = 9,512.08 : x
  2. Step 2: Convert to fraction form
    30,557.68/45,838.08 = 9,512.08/x
  3. Step 3: Cross multiply
    30,557.68x = 45,838.08 × 9,512.08
  4. Step 4: Simplify right side
    30,557.68x = 436,015,484.01
  5. Step 5: Solve for x
    x = 436,015,484.01/30,557.68
  6. Step 6: Final answer
    x = 14,268.61

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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.