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Finding the Fourth Proportional to 35,699.12, 49,265.08 and 19,783.84

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Solution

The fourth proportional to 35,699.12, 49,265.08 and 19,783.84 is: 27,301.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,699.12 : 49,265.08 = 19,783.84 : x
  2. Step 2: Convert to fraction form
    35,699.12/49,265.08 = 19,783.84/x
  3. Step 3: Cross multiply
    35,699.12x = 49,265.08 × 19,783.84
  4. Step 4: Simplify right side
    35,699.12x = 974,652,460.31
  5. Step 5: Solve for x
    x = 974,652,460.31/35,699.12
  6. Step 6: Final answer
    x = 27,301.86

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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.