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Finding the Fourth Proportional to 53,803.47, 80,704.55 and 24,200.40

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Solution

The fourth proportional to 53,803.47, 80,704.55 and 24,200.40 is: 36,300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,803.47 : 80,704.55 = 24,200.40 : x
  2. Step 2: Convert to fraction form
    53,803.47/80,704.55 = 24,200.40/x
  3. Step 3: Cross multiply
    53,803.47x = 80,704.55 × 24,200.40
  4. Step 4: Simplify right side
    53,803.47x = 1,953,082,391.82
  5. Step 5: Solve for x
    x = 1,953,082,391.82/53,803.47
  6. Step 6: Final answer
    x = 36,300.31

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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.