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Finding the Fourth Proportional to 35,840.95, 49,461.58 and 19,707.42

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Solution

The fourth proportional to 35,840.95, 49,461.58 and 19,707.42 is: 27,196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,840.95 : 49,461.58 = 19,707.42 : x
  2. Step 2: Convert to fraction form
    35,840.95/49,461.58 = 19,707.42/x
  3. Step 3: Cross multiply
    35,840.95x = 49,461.58 × 19,707.42
  4. Step 4: Simplify right side
    35,840.95x = 974,760,130.92
  5. Step 5: Solve for x
    x = 974,760,130.92/35,840.95
  6. Step 6: Final answer
    x = 27,196.83

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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.