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Finding the Fourth Proportional to 35,667.40, 49,219.64 and 19,534.46

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Solution

The fourth proportional to 35,667.40, 49,219.64 and 19,534.46 is: 26,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,667.40 : 49,219.64 = 19,534.46 : x
  2. Step 2: Convert to fraction form
    35,667.40/49,219.64 = 19,534.46/x
  3. Step 3: Cross multiply
    35,667.40x = 49,219.64 × 19,534.46
  4. Step 4: Simplify right side
    35,667.40x = 961,479,088.79
  5. Step 5: Solve for x
    x = 961,479,088.79/35,667.40
  6. Step 6: Final answer
    x = 26,956.80

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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.