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Finding the Fourth Proportional to 73,772.76, 101,769.94 and 46,536.50

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Solution

The fourth proportional to 73,772.76, 101,769.94 and 46,536.50 is: 64,197.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,772.76 : 101,769.94 = 46,536.50 : x
  2. Step 2: Convert to fraction form
    73,772.76/101,769.94 = 46,536.50/x
  3. Step 3: Cross multiply
    73,772.76x = 101,769.94 × 46,536.50
  4. Step 4: Simplify right side
    73,772.76x = 4,736,016,812.81
  5. Step 5: Solve for x
    x = 4,736,016,812.81/73,772.76
  6. Step 6: Final answer
    x = 64,197.37

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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.