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Finding the Fourth Proportional to 70,507.36, 105,718.78 and 33,075.64

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Solution

The fourth proportional to 70,507.36, 105,718.78 and 33,075.64 is: 49,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,507.36 : 105,718.78 = 33,075.64 : x
  2. Step 2: Convert to fraction form
    70,507.36/105,718.78 = 33,075.64/x
  3. Step 3: Cross multiply
    70,507.36x = 105,718.78 × 33,075.64
  4. Step 4: Simplify right side
    70,507.36x = 3,496,716,308.52
  5. Step 5: Solve for x
    x = 3,496,716,308.52/70,507.36
  6. Step 6: Final answer
    x = 49,593.64

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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.