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Finding the Fourth Proportional to 46,692.56, 64,423.68 and 27,816.32

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Solution

The fourth proportional to 46,692.56, 64,423.68 and 27,816.32 is: 38,379.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,692.56 : 64,423.68 = 27,816.32 : x
  2. Step 2: Convert to fraction form
    46,692.56/64,423.68 = 27,816.32/x
  3. Step 3: Cross multiply
    46,692.56x = 64,423.68 × 27,816.32
  4. Step 4: Simplify right side
    46,692.56x = 1,792,029,698.46
  5. Step 5: Solve for x
    x = 1,792,029,698.46/46,692.56
  6. Step 6: Final answer
    x = 38,379.34

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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.