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Finding the Fourth Proportional to 46,412.64, 64,066.02 and 27,549.75

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Solution

The fourth proportional to 46,412.64, 64,066.02 and 27,549.75 is: 38,028.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,412.64 : 64,066.02 = 27,549.75 : x
  2. Step 2: Convert to fraction form
    46,412.64/64,066.02 = 27,549.75/x
  3. Step 3: Cross multiply
    46,412.64x = 64,066.02 × 27,549.75
  4. Step 4: Simplify right side
    46,412.64x = 1,765,002,834.50
  5. Step 5: Solve for x
    x = 1,765,002,834.50/46,412.64
  6. Step 6: Final answer
    x = 38,028.49

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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.