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Finding the Fourth Proportional to 73,406.65, 101,308.28 and 41,146.75

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Solution

The fourth proportional to 73,406.65, 101,308.28 and 41,146.75 is: 56,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,406.65 : 101,308.28 = 41,146.75 : x
  2. Step 2: Convert to fraction form
    73,406.65/101,308.28 = 41,146.75/x
  3. Step 3: Cross multiply
    73,406.65x = 101,308.28 × 41,146.75
  4. Step 4: Simplify right side
    73,406.65x = 4,168,506,470.09
  5. Step 5: Solve for x
    x = 4,168,506,470.09/73,406.65
  6. Step 6: Final answer
    x = 56,786.50

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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.