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Finding the Fourth Proportional to 30,284.57, 45,429.89 and 11,580.35

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Solution

The fourth proportional to 30,284.57, 45,429.89 and 11,580.35 is: 17,371.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,284.57 : 45,429.89 = 11,580.35 : x
  2. Step 2: Convert to fraction form
    30,284.57/45,429.89 = 11,580.35/x
  3. Step 3: Cross multiply
    30,284.57x = 45,429.89 × 11,580.35
  4. Step 4: Simplify right side
    30,284.57x = 526,094,026.66
  5. Step 5: Solve for x
    x = 526,094,026.66/30,284.57
  6. Step 6: Final answer
    x = 17,371.69

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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.