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Finding the Fourth Proportional to 77,114.17, 115,389.57 and 45,539.16

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Solution

The fourth proportional to 77,114.17, 115,389.57 and 45,539.16 is: 68,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,114.17 : 115,389.57 = 45,539.16 : x
  2. Step 2: Convert to fraction form
    77,114.17/115,389.57 = 45,539.16/x
  3. Step 3: Cross multiply
    77,114.17x = 115,389.57 × 45,539.16
  4. Step 4: Simplify right side
    77,114.17x = 5,254,744,090.56
  5. Step 5: Solve for x
    x = 5,254,744,090.56/77,114.17
  6. Step 6: Final answer
    x = 68,142.39

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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.