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Finding the Fourth Proportional to 77,325.97, 106,708.09 and 45,058.57

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Solution

The fourth proportional to 77,325.97, 106,708.09 and 45,058.57 is: 62,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,325.97 : 106,708.09 = 45,058.57 : x
  2. Step 2: Convert to fraction form
    77,325.97/106,708.09 = 45,058.57/x
  3. Step 3: Cross multiply
    77,325.97x = 106,708.09 × 45,058.57
  4. Step 4: Simplify right side
    77,325.97x = 4,808,113,184.00
  5. Step 5: Solve for x
    x = 4,808,113,184.00/77,325.97
  6. Step 6: Final answer
    x = 62,179.80

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Why These Related Problems?

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