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Finding the Fourth Proportional to 30,857.00, 46,285.52 and 7,483.44

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Solution

The fourth proportional to 30,857.00, 46,285.52 and 7,483.44 is: 11,225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,857.00 : 46,285.52 = 7,483.44 : x
  2. Step 2: Convert to fraction form
    30,857.00/46,285.52 = 7,483.44/x
  3. Step 3: Cross multiply
    30,857.00x = 46,285.52 × 7,483.44
  4. Step 4: Simplify right side
    30,857.00x = 346,374,930.50
  5. Step 5: Solve for x
    x = 346,374,930.50/30,857.00
  6. Step 6: Final answer
    x = 11,225.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.