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Finding the Fourth Proportional to 46,506.54, 69,770.75 and 14,484

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Solution

The fourth proportional to 46,506.54, 69,770.75 and 14,484 is: 21,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,506.54 : 69,770.75 = 14,484 : x
  2. Step 2: Convert to fraction form
    46,506.54/69,770.75 = 14,484/x
  3. Step 3: Cross multiply
    46,506.54x = 69,770.75 × 14,484
  4. Step 4: Simplify right side
    46,506.54x = 1,010,559,470.58
  5. Step 5: Solve for x
    x = 1,010,559,470.58/46,506.54
  6. Step 6: Final answer
    x = 21,729.41

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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.