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Finding the Fourth Proportional to 37,646.16, 51,963.12 and 21,742.08

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Solution

The fourth proportional to 37,646.16, 51,963.12 and 21,742.08 is: 30,010.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,646.16 : 51,963.12 = 21,742.08 : x
  2. Step 2: Convert to fraction form
    37,646.16/51,963.12 = 21,742.08/x
  3. Step 3: Cross multiply
    37,646.16x = 51,963.12 × 21,742.08
  4. Step 4: Simplify right side
    37,646.16x = 1,129,786,312.09
  5. Step 5: Solve for x
    x = 1,129,786,312.09/37,646.16
  6. Step 6: Final answer
    x = 30,010.67

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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.