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Finding the Fourth Proportional to 46,967.51, 70,481.80 and 20,339.50

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Solution

The fourth proportional to 46,967.51, 70,481.80 and 20,339.50 is: 30,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,967.51 : 70,481.80 = 20,339.50 : x
  2. Step 2: Convert to fraction form
    46,967.51/70,481.80 = 20,339.50/x
  3. Step 3: Cross multiply
    46,967.51x = 70,481.80 × 20,339.50
  4. Step 4: Simplify right side
    46,967.51x = 1,433,564,571.10
  5. Step 5: Solve for x
    x = 1,433,564,571.10/46,967.51
  6. Step 6: Final answer
    x = 30,522.47

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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.