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Finding the Fourth Proportional to 102,941.01, 154,428.93 and 35,470.44

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Solution

The fourth proportional to 102,941.01, 154,428.93 and 35,470.44 is: 53,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,941.01 : 154,428.93 = 35,470.44 : x
  2. Step 2: Convert to fraction form
    102,941.01/154,428.93 = 35,470.44/x
  3. Step 3: Cross multiply
    102,941.01x = 154,428.93 × 35,470.44
  4. Step 4: Simplify right side
    102,941.01x = 5,477,662,095.83
  5. Step 5: Solve for x
    x = 5,477,662,095.83/102,941.01
  6. Step 6: Final answer
    x = 53,211.66

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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.