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Finding the Fourth Proportional to 35,739.16, 49,320.28 and 19,823.88

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Solution

The fourth proportional to 35,739.16, 49,320.28 and 19,823.88 is: 27,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,739.16 : 49,320.28 = 19,823.88 : x
  2. Step 2: Convert to fraction form
    35,739.16/49,320.28 = 19,823.88/x
  3. Step 3: Cross multiply
    35,739.16x = 49,320.28 × 19,823.88
  4. Step 4: Simplify right side
    35,739.16x = 977,719,312.29
  5. Step 5: Solve for x
    x = 977,719,312.29/35,739.16
  6. Step 6: Final answer
    x = 27,357.09

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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.