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Finding the Fourth Proportional to 77,115.88, 106,420.74 and 45,285.16

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Solution

The fourth proportional to 77,115.88, 106,420.74 and 45,285.16 is: 62,494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,115.88 : 106,420.74 = 45,285.16 : x
  2. Step 2: Convert to fraction form
    77,115.88/106,420.74 = 45,285.16/x
  3. Step 3: Cross multiply
    77,115.88x = 106,420.74 × 45,285.16
  4. Step 4: Simplify right side
    77,115.88x = 4,819,280,238.22
  5. Step 5: Solve for x
    x = 4,819,280,238.22/77,115.88
  6. Step 6: Final answer
    x = 62,494.01

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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.