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Finding the Fourth Proportional to 70,313.68, 97,005 and 50,165.20

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Solution

The fourth proportional to 70,313.68, 97,005 and 50,165.20 is: 69,208.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,313.68 : 97,005 = 50,165.20 : x
  2. Step 2: Convert to fraction form
    70,313.68/97,005 = 50,165.20/x
  3. Step 3: Cross multiply
    70,313.68x = 97,005 × 50,165.20
  4. Step 4: Simplify right side
    70,313.68x = 4,866,275,226
  5. Step 5: Solve for x
    x = 4,866,275,226/70,313.68
  6. Step 6: Final answer
    x = 69,208.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.