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Finding the Fourth Proportional to 30,772.67, 46,140.55 and 14,111.84

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Solution

The fourth proportional to 30,772.67, 46,140.55 and 14,111.84 is: 21,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772.67 : 46,140.55 = 14,111.84 : x
  2. Step 2: Convert to fraction form
    30,772.67/46,140.55 = 14,111.84/x
  3. Step 3: Cross multiply
    30,772.67x = 46,140.55 × 14,111.84
  4. Step 4: Simplify right side
    30,772.67x = 651,127,793.13
  5. Step 5: Solve for x
    x = 651,127,793.13/30,772.67
  6. Step 6: Final answer
    x = 21,159.29

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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.