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Finding the Fourth Proportional to 31,005.96, 46,483.02 and 14,377.86

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Solution

The fourth proportional to 31,005.96, 46,483.02 and 14,377.86 is: 21,554.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.96 : 46,483.02 = 14,377.86 : x
  2. Step 2: Convert to fraction form
    31,005.96/46,483.02 = 14,377.86/x
  3. Step 3: Cross multiply
    31,005.96x = 46,483.02 × 14,377.86
  4. Step 4: Simplify right side
    31,005.96x = 668,326,353.94
  5. Step 5: Solve for x
    x = 668,326,353.94/31,005.96
  6. Step 6: Final answer
    x = 21,554.77

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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.