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Finding the Fourth Proportional to 53,905.60, 80,872.80 and 48,102.40

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Solution

The fourth proportional to 53,905.60, 80,872.80 and 48,102.40 is: 72,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,905.60 : 80,872.80 = 48,102.40 : x
  2. Step 2: Convert to fraction form
    53,905.60/80,872.80 = 48,102.40/x
  3. Step 3: Cross multiply
    53,905.60x = 80,872.80 × 48,102.40
  4. Step 4: Simplify right side
    53,905.60x = 3,890,175,774.72
  5. Step 5: Solve for x
    x = 3,890,175,774.72/53,905.60
  6. Step 6: Final answer
    x = 72,166.45

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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.