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Finding the Fourth Proportional to 30,288.64, 45,445.44 and 13,412.80

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Solution

The fourth proportional to 30,288.64, 45,445.44 and 13,412.80 is: 20,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,288.64 : 45,445.44 = 13,412.80 : x
  2. Step 2: Convert to fraction form
    30,288.64/45,445.44 = 13,412.80/x
  3. Step 3: Cross multiply
    30,288.64x = 45,445.44 × 13,412.80
  4. Step 4: Simplify right side
    30,288.64x = 609,550,597.63
  5. Step 5: Solve for x
    x = 609,550,597.63/30,288.64
  6. Step 6: Final answer
    x = 20,124.73

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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.