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Finding the Fourth Proportional to 35,748, 49,332.24 and 19,835.01

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Solution

The fourth proportional to 35,748, 49,332.24 and 19,835.01 is: 27,372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,748 : 49,332.24 = 19,835.01 : x
  2. Step 2: Convert to fraction form
    35,748/49,332.24 = 19,835.01/x
  3. Step 3: Cross multiply
    35,748x = 49,332.24 × 19,835.01
  4. Step 4: Simplify right side
    35,748x = 978,505,473.72
  5. Step 5: Solve for x
    x = 978,505,473.72/35,748
  6. Step 6: Final answer
    x = 27,372.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.