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Finding the Fourth Proportional to 59,989.50, 89,984.70 and 20,547

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Solution

The fourth proportional to 59,989.50, 89,984.70 and 20,547 is: 30,820.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,989.50 : 89,984.70 = 20,547 : x
  2. Step 2: Convert to fraction form
    59,989.50/89,984.70 = 20,547/x
  3. Step 3: Cross multiply
    59,989.50x = 89,984.70 × 20,547
  4. Step 4: Simplify right side
    59,989.50x = 1,848,915,630.90
  5. Step 5: Solve for x
    x = 1,848,915,630.90/59,989.50
  6. Step 6: Final answer
    x = 30,820.65

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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.