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Finding the Fourth Proportional to 46,792.46, 70,237.30 and 27,109.46

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Solution

The fourth proportional to 46,792.46, 70,237.30 and 27,109.46 is: 40,692.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,792.46 : 70,237.30 = 27,109.46 : x
  2. Step 2: Convert to fraction form
    46,792.46/70,237.30 = 27,109.46/x
  3. Step 3: Cross multiply
    46,792.46x = 70,237.30 × 27,109.46
  4. Step 4: Simplify right side
    46,792.46x = 1,904,095,274.86
  5. Step 5: Solve for x
    x = 1,904,095,274.86/46,792.46
  6. Step 6: Final answer
    x = 40,692.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.