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Finding the Fourth Proportional to 70,507.65, 105,730.30 and 33,037.50

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Solution

The fourth proportional to 70,507.65, 105,730.30 and 33,037.50 is: 49,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,507.65 : 105,730.30 = 33,037.50 : x
  2. Step 2: Convert to fraction form
    70,507.65/105,730.30 = 33,037.50/x
  3. Step 3: Cross multiply
    70,507.65x = 105,730.30 × 33,037.50
  4. Step 4: Simplify right side
    70,507.65x = 3,493,064,786.25
  5. Step 5: Solve for x
    x = 3,493,064,786.25/70,507.65
  6. Step 6: Final answer
    x = 49,541.64

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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.