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Finding the Fourth Proportional to 77,218.36, 106,550 and 43,225.08

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Solution

The fourth proportional to 77,218.36, 106,550 and 43,225.08 is: 59,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,218.36 : 106,550 = 43,225.08 : x
  2. Step 2: Convert to fraction form
    77,218.36/106,550 = 43,225.08/x
  3. Step 3: Cross multiply
    77,218.36x = 106,550 × 43,225.08
  4. Step 4: Simplify right side
    77,218.36x = 4,605,632,274
  5. Step 5: Solve for x
    x = 4,605,632,274/77,218.36
  6. Step 6: Final answer
    x = 59,644.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.