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Finding the Fourth Proportional to 45,673.50, 68,539.05 and 17,970.78

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Solution

The fourth proportional to 45,673.50, 68,539.05 and 17,970.78 is: 26,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,673.50 : 68,539.05 = 17,970.78 : x
  2. Step 2: Convert to fraction form
    45,673.50/68,539.05 = 17,970.78/x
  3. Step 3: Cross multiply
    45,673.50x = 68,539.05 × 17,970.78
  4. Step 4: Simplify right side
    45,673.50x = 1,231,700,188.96
  5. Step 5: Solve for x
    x = 1,231,700,188.96/45,673.50
  6. Step 6: Final answer
    x = 26,967.50

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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.