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Finding the Fourth Proportional to 102,030.36, 153,041.34 and 35,485.56

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Solution

The fourth proportional to 102,030.36, 153,041.34 and 35,485.56 is: 53,226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,030.36 : 153,041.34 = 35,485.56 : x
  2. Step 2: Convert to fraction form
    102,030.36/153,041.34 = 35,485.56/x
  3. Step 3: Cross multiply
    102,030.36x = 153,041.34 × 35,485.56
  4. Step 4: Simplify right side
    102,030.36x = 5,430,757,653.05
  5. Step 5: Solve for x
    x = 5,430,757,653.05/102,030.36
  6. Step 6: Final answer
    x = 53,226.88

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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.