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Finding the Fourth Proportional to 77,220.90, 115,744.95 and 32,840.10

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Solution

The fourth proportional to 77,220.90, 115,744.95 and 32,840.10 is: 49,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,220.90 : 115,744.95 = 32,840.10 : x
  2. Step 2: Convert to fraction form
    77,220.90/115,744.95 = 32,840.10/x
  3. Step 3: Cross multiply
    77,220.90x = 115,744.95 × 32,840.10
  4. Step 4: Simplify right side
    77,220.90x = 3,801,075,732.50
  5. Step 5: Solve for x
    x = 3,801,075,732.50/77,220.90
  6. Step 6: Final answer
    x = 49,223.41

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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.