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Finding the Fourth Proportional to 98,709, 148,063.50 and 33,045

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Solution

The fourth proportional to 98,709, 148,063.50 and 33,045 is: 49,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,709 : 148,063.50 = 33,045 : x
  2. Step 2: Convert to fraction form
    98,709/148,063.50 = 33,045/x
  3. Step 3: Cross multiply
    98,709x = 148,063.50 × 33,045
  4. Step 4: Simplify right side
    98,709x = 4,892,758,357.50
  5. Step 5: Solve for x
    x = 4,892,758,357.50/98,709
  6. Step 6: Final answer
    x = 49,567.50

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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.