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Finding the Fourth Proportional to 31,667.63, 47,501.42 and 15,018.59

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Solution

The fourth proportional to 31,667.63, 47,501.42 and 15,018.59 is: 22,527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,667.63 : 47,501.42 = 15,018.59 : x
  2. Step 2: Convert to fraction form
    31,667.63/47,501.42 = 15,018.59/x
  3. Step 3: Cross multiply
    31,667.63x = 47,501.42 × 15,018.59
  4. Step 4: Simplify right side
    31,667.63x = 713,404,038.80
  5. Step 5: Solve for x
    x = 713,404,038.80/31,667.63
  6. Step 6: Final answer
    x = 22,527.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.