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Finding the Fourth Proportional to 47,473.47, 65,513.28 and 27,323

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Solution

The fourth proportional to 47,473.47, 65,513.28 and 27,323 is: 37,705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,473.47 : 65,513.28 = 27,323 : x
  2. Step 2: Convert to fraction form
    47,473.47/65,513.28 = 27,323/x
  3. Step 3: Cross multiply
    47,473.47x = 65,513.28 × 27,323
  4. Step 4: Simplify right side
    47,473.47x = 1,790,019,349.44
  5. Step 5: Solve for x
    x = 1,790,019,349.44/47,473.47
  6. Step 6: Final answer
    x = 37,705.68

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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.