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Finding the Fourth Proportional to 53,706.42, 80,513.46 and 18,641.52

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Solution

The fourth proportional to 53,706.42, 80,513.46 and 18,641.52 is: 27,946.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,706.42 : 80,513.46 = 18,641.52 : x
  2. Step 2: Convert to fraction form
    53,706.42/80,513.46 = 18,641.52/x
  3. Step 3: Cross multiply
    53,706.42x = 80,513.46 × 18,641.52
  4. Step 4: Simplify right side
    53,706.42x = 1,500,893,274.86
  5. Step 5: Solve for x
    x = 1,500,893,274.86/53,706.42
  6. Step 6: Final answer
    x = 27,946.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.