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Finding the Fourth Proportional to 69,973.50, 96,563.16 and 38,142.30

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Solution

The fourth proportional to 69,973.50, 96,563.16 and 38,142.30 is: 52,636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,973.50 : 96,563.16 = 38,142.30 : x
  2. Step 2: Convert to fraction form
    69,973.50/96,563.16 = 38,142.30/x
  3. Step 3: Cross multiply
    69,973.50x = 96,563.16 × 38,142.30
  4. Step 4: Simplify right side
    69,973.50x = 3,683,141,017.67
  5. Step 5: Solve for x
    x = 3,683,141,017.67/69,973.50
  6. Step 6: Final answer
    x = 52,636.23

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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.