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Finding the Fourth Proportional to 175,955.47, 263,948.74 and 49,596.77

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Solution

The fourth proportional to 175,955.47, 263,948.74 and 49,596.77 is: 74,399.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,955.47 : 263,948.74 = 49,596.77 : x
  2. Step 2: Convert to fraction form
    175,955.47/263,948.74 = 49,596.77/x
  3. Step 3: Cross multiply
    175,955.47x = 263,948.74 × 49,596.77
  4. Step 4: Simplify right side
    175,955.47x = 13,091,005,485.45
  5. Step 5: Solve for x
    x = 13,091,005,485.45/175,955.47
  6. Step 6: Final answer
    x = 74,399.54

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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.