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Finding the Fourth Proportional to 102,055.50, 153,152.90 and 35,494.96

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Solution

The fourth proportional to 102,055.50, 153,152.90 and 35,494.96 is: 53,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,055.50 : 153,152.90 = 35,494.96 : x
  2. Step 2: Convert to fraction form
    102,055.50/153,152.90 = 35,494.96/x
  3. Step 3: Cross multiply
    102,055.50x = 153,152.90 × 35,494.96
  4. Step 4: Simplify right side
    102,055.50x = 5,436,156,059.38
  5. Step 5: Solve for x
    x = 5,436,156,059.38/102,055.50
  6. Step 6: Final answer
    x = 53,266.66

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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.