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Finding the Fourth Proportional to 70,930.16, 106,362.54 and 20,992.40

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Solution

The fourth proportional to 70,930.16, 106,362.54 and 20,992.40 is: 31,478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,930.16 : 106,362.54 = 20,992.40 : x
  2. Step 2: Convert to fraction form
    70,930.16/106,362.54 = 20,992.40/x
  3. Step 3: Cross multiply
    70,930.16x = 106,362.54 × 20,992.40
  4. Step 4: Simplify right side
    70,930.16x = 2,232,804,984.70
  5. Step 5: Solve for x
    x = 2,232,804,984.70/70,930.16
  6. Step 6: Final answer
    x = 31,478.92

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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.