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Finding the Fourth Proportional to 47,852.16, 71,792.64 and 18,270.72

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Solution

The fourth proportional to 47,852.16, 71,792.64 and 18,270.72 is: 27,411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,852.16 : 71,792.64 = 18,270.72 : x
  2. Step 2: Convert to fraction form
    47,852.16/71,792.64 = 18,270.72/x
  3. Step 3: Cross multiply
    47,852.16x = 71,792.64 × 18,270.72
  4. Step 4: Simplify right side
    47,852.16x = 1,311,703,223.50
  5. Step 5: Solve for x
    x = 1,311,703,223.50/47,852.16
  6. Step 6: Final answer
    x = 27,411.58

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