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Finding the Fourth Proportional to 31,124.46, 46,667.82 and 12,407.34

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Solution

The fourth proportional to 31,124.46, 46,667.82 and 12,407.34 is: 18,603.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,124.46 : 46,667.82 = 12,407.34 : x
  2. Step 2: Convert to fraction form
    31,124.46/46,667.82 = 12,407.34/x
  3. Step 3: Cross multiply
    31,124.46x = 46,667.82 × 12,407.34
  4. Step 4: Simplify right side
    31,124.46x = 579,023,509.80
  5. Step 5: Solve for x
    x = 579,023,509.80/31,124.46
  6. Step 6: Final answer
    x = 18,603.49

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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.