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Finding the Fourth Proportional to 105,751.96, 145,935.19 and 58,004.89

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Solution

The fourth proportional to 105,751.96, 145,935.19 and 58,004.89 is: 80,045.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,751.96 : 145,935.19 = 58,004.89 : x
  2. Step 2: Convert to fraction form
    105,751.96/145,935.19 = 58,004.89/x
  3. Step 3: Cross multiply
    105,751.96x = 145,935.19 × 58,004.89
  4. Step 4: Simplify right side
    105,751.96x = 8,464,954,643.08
  5. Step 5: Solve for x
    x = 8,464,954,643.08/105,751.96
  6. Step 6: Final answer
    x = 80,045.37

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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.