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Finding the Fourth Proportional to 102,185.50, 153,056.71 and 49,484.47

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Solution

The fourth proportional to 102,185.50, 153,056.71 and 49,484.47 is: 74,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,185.50 : 153,056.71 = 49,484.47 : x
  2. Step 2: Convert to fraction form
    102,185.50/153,056.71 = 49,484.47/x
  3. Step 3: Cross multiply
    102,185.50x = 153,056.71 × 49,484.47
  4. Step 4: Simplify right side
    102,185.50x = 7,573,930,106.68
  5. Step 5: Solve for x
    x = 7,573,930,106.68/102,185.50
  6. Step 6: Final answer
    x = 74,119.42

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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.