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Finding the Fourth Proportional to 30,985.81, 46,452.83 and 14,357.78

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Solution

The fourth proportional to 30,985.81, 46,452.83 and 14,357.78 is: 21,524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,985.81 : 46,452.83 = 14,357.78 : x
  2. Step 2: Convert to fraction form
    30,985.81/46,452.83 = 14,357.78/x
  3. Step 3: Cross multiply
    30,985.81x = 46,452.83 × 14,357.78
  4. Step 4: Simplify right side
    30,985.81x = 666,959,513.52
  5. Step 5: Solve for x
    x = 666,959,513.52/30,985.81
  6. Step 6: Final answer
    x = 21,524.68

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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.