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Finding the Fourth Proportional to 69,211.72, 103,784.76 and 35,898.46

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Solution

The fourth proportional to 69,211.72, 103,784.76 and 35,898.46 is: 53,830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,211.72 : 103,784.76 = 35,898.46 : x
  2. Step 2: Convert to fraction form
    69,211.72/103,784.76 = 35,898.46/x
  3. Step 3: Cross multiply
    69,211.72x = 103,784.76 × 35,898.46
  4. Step 4: Simplify right side
    69,211.72x = 3,725,713,055.47
  5. Step 5: Solve for x
    x = 3,725,713,055.47/69,211.72
  6. Step 6: Final answer
    x = 53,830.67

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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.