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Finding the Fourth Proportional to 30,858.39, 46,287.59 and 7,484.63

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Solution

The fourth proportional to 30,858.39, 46,287.59 and 7,484.63 is: 11,226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858.39 : 46,287.59 = 7,484.63 : x
  2. Step 2: Convert to fraction form
    30,858.39/46,287.59 = 7,484.63/x
  3. Step 3: Cross multiply
    30,858.39x = 46,287.59 × 7,484.63
  4. Step 4: Simplify right side
    30,858.39x = 346,445,215.88
  5. Step 5: Solve for x
    x = 346,445,215.88/30,858.39
  6. Step 6: Final answer
    x = 11,226.94

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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.