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Finding the Fourth Proportional to 94,906.81, 130,964.81 and 52,462

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Solution

The fourth proportional to 94,906.81, 130,964.81 and 52,462 is: 72,393.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,906.81 : 130,964.81 = 52,462 : x
  2. Step 2: Convert to fraction form
    94,906.81/130,964.81 = 52,462/x
  3. Step 3: Cross multiply
    94,906.81x = 130,964.81 × 52,462
  4. Step 4: Simplify right side
    94,906.81x = 6,870,675,862.22
  5. Step 5: Solve for x
    x = 6,870,675,862.22/94,906.81
  6. Step 6: Final answer
    x = 72,393.92

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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.