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Finding the Fourth Proportional to 30,438.64, 45,645.18 and 10,712.44

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Solution

The fourth proportional to 30,438.64, 45,645.18 and 10,712.44 is: 16,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438.64 : 45,645.18 = 10,712.44 : x
  2. Step 2: Convert to fraction form
    30,438.64/45,645.18 = 10,712.44/x
  3. Step 3: Cross multiply
    30,438.64x = 45,645.18 × 10,712.44
  4. Step 4: Simplify right side
    30,438.64x = 488,971,252.04
  5. Step 5: Solve for x
    x = 488,971,252.04/30,438.64
  6. Step 6: Final answer
    x = 16,064.16

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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.