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Finding the Fourth Proportional to 86,826.80, 130,207.80 and 34,225.40

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Solution

The fourth proportional to 86,826.80, 130,207.80 and 34,225.40 is: 51,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,826.80 : 130,207.80 = 34,225.40 : x
  2. Step 2: Convert to fraction form
    86,826.80/130,207.80 = 34,225.40/x
  3. Step 3: Cross multiply
    86,826.80x = 130,207.80 × 34,225.40
  4. Step 4: Simplify right side
    86,826.80x = 4,456,414,038.12
  5. Step 5: Solve for x
    x = 4,456,414,038.12/86,826.80
  6. Step 6: Final answer
    x = 51,325.33

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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.