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Finding the Fourth Proportional to 30,788.48, 46,173 and 13,253.60

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Solution

The fourth proportional to 30,788.48, 46,173 and 13,253.60 is: 19,876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,788.48 : 46,173 = 13,253.60 : x
  2. Step 2: Convert to fraction form
    30,788.48/46,173 = 13,253.60/x
  3. Step 3: Cross multiply
    30,788.48x = 46,173 × 13,253.60
  4. Step 4: Simplify right side
    30,788.48x = 611,958,472.80
  5. Step 5: Solve for x
    x = 611,958,472.80/30,788.48
  6. Step 6: Final answer
    x = 19,876.22

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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.