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Finding the Fourth Proportional to 41,530.56, 57,312 and 22,667.64

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Solution

The fourth proportional to 41,530.56, 57,312 and 22,667.64 is: 31,281.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,530.56 : 57,312 = 22,667.64 : x
  2. Step 2: Convert to fraction form
    41,530.56/57,312 = 22,667.64/x
  3. Step 3: Cross multiply
    41,530.56x = 57,312 × 22,667.64
  4. Step 4: Simplify right side
    41,530.56x = 1,299,127,783.68
  5. Step 5: Solve for x
    x = 1,299,127,783.68/41,530.56
  6. Step 6: Final answer
    x = 31,281.25

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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.