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Finding the Fourth Proportional to 30,049.32, 45,071.82 and 13,410.84

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Solution

The fourth proportional to 30,049.32, 45,071.82 and 13,410.84 is: 20,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,049.32 : 45,071.82 = 13,410.84 : x
  2. Step 2: Convert to fraction form
    30,049.32/45,071.82 = 13,410.84/x
  3. Step 3: Cross multiply
    30,049.32x = 45,071.82 × 13,410.84
  4. Step 4: Simplify right side
    30,049.32x = 604,450,966.53
  5. Step 5: Solve for x
    x = 604,450,966.53/30,049.32
  6. Step 6: Final answer
    x = 20,115.30

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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.