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Finding the Fourth Proportional to 30,152.96, 45,232.80 and 10,433.28

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Solution

The fourth proportional to 30,152.96, 45,232.80 and 10,433.28 is: 15,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,152.96 : 45,232.80 = 10,433.28 : x
  2. Step 2: Convert to fraction form
    30,152.96/45,232.80 = 10,433.28/x
  3. Step 3: Cross multiply
    30,152.96x = 45,232.80 × 10,433.28
  4. Step 4: Simplify right side
    30,152.96x = 471,926,467.58
  5. Step 5: Solve for x
    x = 471,926,467.58/30,152.96
  6. Step 6: Final answer
    x = 15,651.08

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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.