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Finding the Fourth Proportional to 49,336.81, 74,009.88 and 13,798.13

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Solution

The fourth proportional to 49,336.81, 74,009.88 and 13,798.13 is: 20,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,336.81 : 74,009.88 = 13,798.13 : x
  2. Step 2: Convert to fraction form
    49,336.81/74,009.88 = 13,798.13/x
  3. Step 3: Cross multiply
    49,336.81x = 74,009.88 × 13,798.13
  4. Step 4: Simplify right side
    49,336.81x = 1,021,197,506.48
  5. Step 5: Solve for x
    x = 1,021,197,506.48/49,336.81
  6. Step 6: Final answer
    x = 20,698.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.