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Finding the Fourth Proportional to 70,519.62, 105,782.94 and 23,130.50

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Solution

The fourth proportional to 70,519.62, 105,782.94 and 23,130.50 is: 34,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,519.62 : 105,782.94 = 23,130.50 : x
  2. Step 2: Convert to fraction form
    70,519.62/105,782.94 = 23,130.50/x
  3. Step 3: Cross multiply
    70,519.62x = 105,782.94 × 23,130.50
  4. Step 4: Simplify right side
    70,519.62x = 2,446,812,293.67
  5. Step 5: Solve for x
    x = 2,446,812,293.67/70,519.62
  6. Step 6: Final answer
    x = 34,696.90

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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.