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Finding the Fourth Proportional to 47,568.34, 65,657.82 and 28,706.68

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Solution

The fourth proportional to 47,568.34, 65,657.82 and 28,706.68 is: 39,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,568.34 : 65,657.82 = 28,706.68 : x
  2. Step 2: Convert to fraction form
    47,568.34/65,657.82 = 28,706.68/x
  3. Step 3: Cross multiply
    47,568.34x = 65,657.82 × 28,706.68
  4. Step 4: Simplify right side
    47,568.34x = 1,884,818,028.24
  5. Step 5: Solve for x
    x = 1,884,818,028.24/47,568.34
  6. Step 6: Final answer
    x = 39,623.37

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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.