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Finding the Fourth Proportional to 30,335.44, 45,509.64 and 10,614.64

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Solution

The fourth proportional to 30,335.44, 45,509.64 and 10,614.64 is: 15,924.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,335.44 : 45,509.64 = 10,614.64 : x
  2. Step 2: Convert to fraction form
    30,335.44/45,509.64 = 10,614.64/x
  3. Step 3: Cross multiply
    30,335.44x = 45,509.64 × 10,614.64
  4. Step 4: Simplify right side
    30,335.44x = 483,068,445.13
  5. Step 5: Solve for x
    x = 483,068,445.13/30,335.44
  6. Step 6: Final answer
    x = 15,924.23

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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.