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Finding the Fourth Proportional to 47,552.94, 65,617.46 and 27,409.58

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Solution

The fourth proportional to 47,552.94, 65,617.46 and 27,409.58 is: 37,821.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,552.94 : 65,617.46 = 27,409.58 : x
  2. Step 2: Convert to fraction form
    47,552.94/65,617.46 = 27,409.58/x
  3. Step 3: Cross multiply
    47,552.94x = 65,617.46 × 27,409.58
  4. Step 4: Simplify right side
    47,552.94x = 1,798,547,019.27
  5. Step 5: Solve for x
    x = 1,798,547,019.27/47,552.94
  6. Step 6: Final answer
    x = 37,821.99

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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.