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Finding the Fourth Proportional to 98,668.50, 136,162.52 and 53,346.47

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Solution

The fourth proportional to 98,668.50, 136,162.52 and 53,346.47 is: 73,618.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,668.50 : 136,162.52 = 53,346.47 : x
  2. Step 2: Convert to fraction form
    98,668.50/136,162.52 = 53,346.47/x
  3. Step 3: Cross multiply
    98,668.50x = 136,162.52 × 53,346.47
  4. Step 4: Simplify right side
    98,668.50x = 7,263,789,040.81
  5. Step 5: Solve for x
    x = 7,263,789,040.81/98,668.50
  6. Step 6: Final answer
    x = 73,618.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.