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Finding the Fourth Proportional to 30,205.52, 45,314.56 and 9,146.74

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Solution

The fourth proportional to 30,205.52, 45,314.56 and 9,146.74 is: 13,722.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.52 : 45,314.56 = 9,146.74 : x
  2. Step 2: Convert to fraction form
    30,205.52/45,314.56 = 9,146.74/x
  3. Step 3: Cross multiply
    30,205.52x = 45,314.56 × 9,146.74
  4. Step 4: Simplify right side
    30,205.52x = 414,480,498.53
  5. Step 5: Solve for x
    x = 414,480,498.53/30,205.52
  6. Step 6: Final answer
    x = 13,722.01

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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.