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Finding the Fourth Proportional to 31,281.41, 46,889.31 and 14,627.41

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Solution

The fourth proportional to 31,281.41, 46,889.31 and 14,627.41 is: 21,925.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,281.41 : 46,889.31 = 14,627.41 : x
  2. Step 2: Convert to fraction form
    31,281.41/46,889.31 = 14,627.41/x
  3. Step 3: Cross multiply
    31,281.41x = 46,889.31 × 14,627.41
  4. Step 4: Simplify right side
    31,281.41x = 685,868,927.54
  5. Step 5: Solve for x
    x = 685,868,927.54/31,281.41
  6. Step 6: Final answer
    x = 21,925.77

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Why These Related Problems?

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