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Finding the Fourth Proportional to 47,772.16, 65,926.94 and 27,627.12

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Solution

The fourth proportional to 47,772.16, 65,926.94 and 27,627.12 is: 38,126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,772.16 : 65,926.94 = 27,627.12 : x
  2. Step 2: Convert to fraction form
    47,772.16/65,926.94 = 27,627.12/x
  3. Step 3: Cross multiply
    47,772.16x = 65,926.94 × 27,627.12
  4. Step 4: Simplify right side
    47,772.16x = 1,821,371,482.61
  5. Step 5: Solve for x
    x = 1,821,371,482.61/47,772.16
  6. Step 6: Final answer
    x = 38,126.21

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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.