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Finding the Fourth Proportional to 105,472.64, 145,485.06 and 73,629.92

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Solution

The fourth proportional to 105,472.64, 145,485.06 and 73,629.92 is: 101,562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,472.64 : 145,485.06 = 73,629.92 : x
  2. Step 2: Convert to fraction form
    105,472.64/145,485.06 = 73,629.92/x
  3. Step 3: Cross multiply
    105,472.64x = 145,485.06 × 73,629.92
  4. Step 4: Simplify right side
    105,472.64x = 10,712,053,329.00
  5. Step 5: Solve for x
    x = 10,712,053,329.00/105,472.64
  6. Step 6: Final answer
    x = 101,562.39

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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.