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Finding the Fourth Proportional to 70,282.94, 105,465.99 and 25,941.02

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Solution

The fourth proportional to 70,282.94, 105,465.99 and 25,941.02 is: 38,926.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,282.94 : 105,465.99 = 25,941.02 : x
  2. Step 2: Convert to fraction form
    70,282.94/105,465.99 = 25,941.02/x
  3. Step 3: Cross multiply
    70,282.94x = 105,465.99 × 25,941.02
  4. Step 4: Simplify right side
    70,282.94x = 2,735,895,355.91
  5. Step 5: Solve for x
    x = 2,735,895,355.91/70,282.94
  6. Step 6: Final answer
    x = 38,926.88

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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.