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Finding the Fourth Proportional to 70,834.50, 97,749.32 and 39,002.58

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Solution

The fourth proportional to 70,834.50, 97,749.32 and 39,002.58 is: 53,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,834.50 : 97,749.32 = 39,002.58 : x
  2. Step 2: Convert to fraction form
    70,834.50/97,749.32 = 39,002.58/x
  3. Step 3: Cross multiply
    70,834.50x = 97,749.32 × 39,002.58
  4. Step 4: Simplify right side
    70,834.50x = 3,812,475,478.23
  5. Step 5: Solve for x
    x = 3,812,475,478.23/70,834.50
  6. Step 6: Final answer
    x = 53,822.30

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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.