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Finding the Fourth Proportional to 73,810.53, 101,854.94 and 41,978.75

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Solution

The fourth proportional to 73,810.53, 101,854.94 and 41,978.75 is: 57,928.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,810.53 : 101,854.94 = 41,978.75 : x
  2. Step 2: Convert to fraction form
    73,810.53/101,854.94 = 41,978.75/x
  3. Step 3: Cross multiply
    73,810.53x = 101,854.94 × 41,978.75
  4. Step 4: Simplify right side
    73,810.53x = 4,275,742,343.36
  5. Step 5: Solve for x
    x = 4,275,742,343.36/73,810.53
  6. Step 6: Final answer
    x = 57,928.62

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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.