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Finding the Fourth Proportional to 31,359.40, 47,038.51 and 12,638.94

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Solution

The fourth proportional to 31,359.40, 47,038.51 and 12,638.94 is: 18,958.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,359.40 : 47,038.51 = 12,638.94 : x
  2. Step 2: Convert to fraction form
    31,359.40/47,038.51 = 12,638.94/x
  3. Step 3: Cross multiply
    31,359.40x = 47,038.51 × 12,638.94
  4. Step 4: Simplify right side
    31,359.40x = 594,516,905.58
  5. Step 5: Solve for x
    x = 594,516,905.58/31,359.40
  6. Step 6: Final answer
    x = 18,958.17

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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.