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Finding the Fourth Proportional to 73,692.25, 101,711.72 and 46,829.52

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Solution

The fourth proportional to 73,692.25, 101,711.72 and 46,829.52 is: 64,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,692.25 : 101,711.72 = 46,829.52 : x
  2. Step 2: Convert to fraction form
    73,692.25/101,711.72 = 46,829.52/x
  3. Step 3: Cross multiply
    73,692.25x = 101,711.72 × 46,829.52
  4. Step 4: Simplify right side
    73,692.25x = 4,763,111,025.97
  5. Step 5: Solve for x
    x = 4,763,111,025.97/73,692.25
  6. Step 6: Final answer
    x = 64,635.17

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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.