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Finding the Fourth Proportional to 73,742.94, 101,778.32 and 43,526.30

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Solution

The fourth proportional to 73,742.94, 101,778.32 and 43,526.30 is: 60,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,742.94 : 101,778.32 = 43,526.30 : x
  2. Step 2: Convert to fraction form
    73,742.94/101,778.32 = 43,526.30/x
  3. Step 3: Cross multiply
    73,742.94x = 101,778.32 × 43,526.30
  4. Step 4: Simplify right side
    73,742.94x = 4,430,033,289.74
  5. Step 5: Solve for x
    x = 4,430,033,289.74/73,742.94
  6. Step 6: Final answer
    x = 60,074.00

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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.