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Finding the Fourth Proportional to 102,782.56, 154,224.08 and 46,659.28

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Solution

The fourth proportional to 102,782.56, 154,224.08 and 46,659.28 is: 70,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,782.56 : 154,224.08 = 46,659.28 : x
  2. Step 2: Convert to fraction form
    102,782.56/154,224.08 = 46,659.28/x
  3. Step 3: Cross multiply
    102,782.56x = 154,224.08 × 46,659.28
  4. Step 4: Simplify right side
    102,782.56x = 7,195,984,531.46
  5. Step 5: Solve for x
    x = 7,195,984,531.46/102,782.56
  6. Step 6: Final answer
    x = 70,011.73

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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.