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Finding the Fourth Proportional to 105,506.52, 158,047.80 and 49,269.08

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Solution

The fourth proportional to 105,506.52, 158,047.80 and 49,269.08 is: 73,804.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,506.52 : 158,047.80 = 49,269.08 : x
  2. Step 2: Convert to fraction form
    105,506.52/158,047.80 = 49,269.08/x
  3. Step 3: Cross multiply
    105,506.52x = 158,047.80 × 49,269.08
  4. Step 4: Simplify right side
    105,506.52x = 7,786,869,702.02
  5. Step 5: Solve for x
    x = 7,786,869,702.02/105,506.52
  6. Step 6: Final answer
    x = 73,804.63

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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.