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Finding the Fourth Proportional to 49,574, 74,353.44 and 19,984.16

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Solution

The fourth proportional to 49,574, 74,353.44 and 19,984.16 is: 29,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,574 : 74,353.44 = 19,984.16 : x
  2. Step 2: Convert to fraction form
    49,574/74,353.44 = 19,984.16/x
  3. Step 3: Cross multiply
    49,574x = 74,353.44 × 19,984.16
  4. Step 4: Simplify right side
    49,574x = 1,485,891,041.51
  5. Step 5: Solve for x
    x = 1,485,891,041.51/49,574
  6. Step 6: Final answer
    x = 29,973.19

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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.