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Finding the Fourth Proportional to 49,326.48, 73,978.80 and 14,258.40

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Solution

The fourth proportional to 49,326.48, 73,978.80 and 14,258.40 is: 21,384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,326.48 : 73,978.80 = 14,258.40 : x
  2. Step 2: Convert to fraction form
    49,326.48/73,978.80 = 14,258.40/x
  3. Step 3: Cross multiply
    49,326.48x = 73,978.80 × 14,258.40
  4. Step 4: Simplify right side
    49,326.48x = 1,054,819,321.92
  5. Step 5: Solve for x
    x = 1,054,819,321.92/49,326.48
  6. Step 6: Final answer
    x = 21,384.44

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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.