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Finding the Fourth Proportional to 51,412.50, 77,130.09 and 21,855.60

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Solution

The fourth proportional to 51,412.50, 77,130.09 and 21,855.60 is: 32,788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,412.50 : 77,130.09 = 21,855.60 : x
  2. Step 2: Convert to fraction form
    51,412.50/77,130.09 = 21,855.60/x
  3. Step 3: Cross multiply
    51,412.50x = 77,130.09 × 21,855.60
  4. Step 4: Simplify right side
    51,412.50x = 1,685,724,395.00
  5. Step 5: Solve for x
    x = 1,685,724,395.00/51,412.50
  6. Step 6: Final answer
    x = 32,788.22

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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.