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Finding the Fourth Proportional to 47,551.64, 65,619.06 and 27,412.12

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Solution

The fourth proportional to 47,551.64, 65,619.06 and 27,412.12 is: 37,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,551.64 : 65,619.06 = 27,412.12 : x
  2. Step 2: Convert to fraction form
    47,551.64/65,619.06 = 27,412.12/x
  3. Step 3: Cross multiply
    47,551.64x = 65,619.06 × 27,412.12
  4. Step 4: Simplify right side
    47,551.64x = 1,798,757,547.01
  5. Step 5: Solve for x
    x = 1,798,757,547.01/47,551.64
  6. Step 6: Final answer
    x = 37,827.46

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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.