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Finding the Fourth Proportional to 53,904.40, 80,827.80 and 22,704.40

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Solution

The fourth proportional to 53,904.40, 80,827.80 and 22,704.40 is: 34,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,904.40 : 80,827.80 = 22,704.40 : x
  2. Step 2: Convert to fraction form
    53,904.40/80,827.80 = 22,704.40/x
  3. Step 3: Cross multiply
    53,904.40x = 80,827.80 × 22,704.40
  4. Step 4: Simplify right side
    53,904.40x = 1,835,146,702.32
  5. Step 5: Solve for x
    x = 1,835,146,702.32/53,904.40
  6. Step 6: Final answer
    x = 34,044.47

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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.