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Finding the Fourth Proportional to 70,205.84, 105,314.20 and 23,458.88

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Solution

The fourth proportional to 70,205.84, 105,314.20 and 23,458.88 is: 35,190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,205.84 : 105,314.20 = 23,458.88 : x
  2. Step 2: Convert to fraction form
    70,205.84/105,314.20 = 23,458.88/x
  3. Step 3: Cross multiply
    70,205.84x = 105,314.20 × 23,458.88
  4. Step 4: Simplify right side
    70,205.84x = 2,470,553,180.10
  5. Step 5: Solve for x
    x = 2,470,553,180.10/70,205.84
  6. Step 6: Final answer
    x = 35,190.14

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1.5x scale

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.