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Finding the Fourth Proportional to 30,798.39, 46,197.18 and 7,424.64

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Solution

The fourth proportional to 30,798.39, 46,197.18 and 7,424.64 is: 11,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,798.39 : 46,197.18 = 7,424.64 : x
  2. Step 2: Convert to fraction form
    30,798.39/46,197.18 = 7,424.64/x
  3. Step 3: Cross multiply
    30,798.39x = 46,197.18 × 7,424.64
  4. Step 4: Simplify right side
    30,798.39x = 342,997,430.52
  5. Step 5: Solve for x
    x = 342,997,430.52/30,798.39
  6. Step 6: Final answer
    x = 11,136.86

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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.