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Finding the Fourth Proportional to 102,065.47, 152,876.63 and 49,364.44

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Solution

The fourth proportional to 102,065.47, 152,876.63 and 49,364.44 is: 73,939.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,065.47 : 152,876.63 = 49,364.44 : x
  2. Step 2: Convert to fraction form
    102,065.47/152,876.63 = 49,364.44/x
  3. Step 3: Cross multiply
    102,065.47x = 152,876.63 × 49,364.44
  4. Step 4: Simplify right side
    102,065.47x = 7,546,668,970.26
  5. Step 5: Solve for x
    x = 7,546,668,970.26/102,065.47
  6. Step 6: Final answer
    x = 73,939.49

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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.