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Finding the Fourth Proportional to 47,706.40, 65,835.12 and 29,811.84

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Solution

The fourth proportional to 47,706.40, 65,835.12 and 29,811.84 is: 41,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,706.40 : 65,835.12 = 29,811.84 : x
  2. Step 2: Convert to fraction form
    47,706.40/65,835.12 = 29,811.84/x
  3. Step 3: Cross multiply
    47,706.40x = 65,835.12 × 29,811.84
  4. Step 4: Simplify right side
    47,706.40x = 1,962,666,063.82
  5. Step 5: Solve for x
    x = 1,962,666,063.82/47,706.40
  6. Step 6: Final answer
    x = 41,140.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.