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Finding the Fourth Proportional to 105,695.37, 145,868.81 and 57,958.02

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Solution

The fourth proportional to 105,695.37, 145,868.81 and 57,958.02 is: 79,987.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,695.37 : 145,868.81 = 57,958.02 : x
  2. Step 2: Convert to fraction form
    105,695.37/145,868.81 = 57,958.02/x
  3. Step 3: Cross multiply
    105,695.37x = 145,868.81 × 57,958.02
  4. Step 4: Simplify right side
    105,695.37x = 8,454,267,407.36
  5. Step 5: Solve for x
    x = 8,454,267,407.36/105,695.37
  6. Step 6: Final answer
    x = 79,987.11

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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.