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Finding the Fourth Proportional to 49,886.48, 74,829.54 and 12,950.48

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Solution

The fourth proportional to 49,886.48, 74,829.54 and 12,950.48 is: 19,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,886.48 : 74,829.54 = 12,950.48 : x
  2. Step 2: Convert to fraction form
    49,886.48/74,829.54 = 12,950.48/x
  3. Step 3: Cross multiply
    49,886.48x = 74,829.54 × 12,950.48
  4. Step 4: Simplify right side
    49,886.48x = 969,078,461.18
  5. Step 5: Solve for x
    x = 969,078,461.18/49,886.48
  6. Step 6: Final answer
    x = 19,425.67

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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.