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Finding the Fourth Proportional to 70,378.81, 105,569.57 and 22,994.04

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Solution

The fourth proportional to 70,378.81, 105,569.57 and 22,994.04 is: 34,491.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,378.81 : 105,569.57 = 22,994.04 : x
  2. Step 2: Convert to fraction form
    70,378.81/105,569.57 = 22,994.04/x
  3. Step 3: Cross multiply
    70,378.81x = 105,569.57 × 22,994.04
  4. Step 4: Simplify right side
    70,378.81x = 2,427,470,915.36
  5. Step 5: Solve for x
    x = 2,427,470,915.36/70,378.81
  6. Step 6: Final answer
    x = 34,491.50

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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.