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Finding the Fourth Proportional to 70,340.22, 97,069.50 and 38,509.08

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Solution

The fourth proportional to 70,340.22, 97,069.50 and 38,509.08 is: 53,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,340.22 : 97,069.50 = 38,509.08 : x
  2. Step 2: Convert to fraction form
    70,340.22/97,069.50 = 38,509.08/x
  3. Step 3: Cross multiply
    70,340.22x = 97,069.50 × 38,509.08
  4. Step 4: Simplify right side
    70,340.22x = 3,738,057,141.06
  5. Step 5: Solve for x
    x = 3,738,057,141.06/70,340.22
  6. Step 6: Final answer
    x = 53,142.53

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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.