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Finding the Fourth Proportional to 48,570.16, 72,872.76 and 16,984.84

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Solution

The fourth proportional to 48,570.16, 72,872.76 and 16,984.84 is: 25,483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,570.16 : 72,872.76 = 16,984.84 : x
  2. Step 2: Convert to fraction form
    48,570.16/72,872.76 = 16,984.84/x
  3. Step 3: Cross multiply
    48,570.16x = 72,872.76 × 16,984.84
  4. Step 4: Simplify right side
    48,570.16x = 1,237,732,168.96
  5. Step 5: Solve for x
    x = 1,237,732,168.96/48,570.16
  6. Step 6: Final answer
    x = 25,483.39

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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.