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Finding the Fourth Proportional to 70,876.16, 97,674.53 and 50,698.01

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Solution

The fourth proportional to 70,876.16, 97,674.53 and 50,698.01 is: 69,866.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,876.16 : 97,674.53 = 50,698.01 : x
  2. Step 2: Convert to fraction form
    70,876.16/97,674.53 = 50,698.01/x
  3. Step 3: Cross multiply
    70,876.16x = 97,674.53 × 50,698.01
  4. Step 4: Simplify right side
    70,876.16x = 4,951,904,574.56
  5. Step 5: Solve for x
    x = 4,951,904,574.56/70,876.16
  6. Step 6: Final answer
    x = 69,866.99

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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.