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Finding the Fourth Proportional to 65,030.44, 97,535.68 and 20,651.44

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Solution

The fourth proportional to 65,030.44, 97,535.68 and 20,651.44 is: 30,973.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,030.44 : 97,535.68 = 20,651.44 : x
  2. Step 2: Convert to fraction form
    65,030.44/97,535.68 = 20,651.44/x
  3. Step 3: Cross multiply
    65,030.44x = 97,535.68 × 20,651.44
  4. Step 4: Simplify right side
    65,030.44x = 2,014,252,243.38
  5. Step 5: Solve for x
    x = 2,014,252,243.38/65,030.44
  6. Step 6: Final answer
    x = 30,973.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.