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Finding the Fourth Proportional to 84,684.30, 127,026.50 and 21,509.16

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Solution

The fourth proportional to 84,684.30, 127,026.50 and 21,509.16 is: 32,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,684.30 : 127,026.50 = 21,509.16 : x
  2. Step 2: Convert to fraction form
    84,684.30/127,026.50 = 21,509.16/x
  3. Step 3: Cross multiply
    84,684.30x = 127,026.50 × 21,509.16
  4. Step 4: Simplify right side
    84,684.30x = 2,732,233,205.19
  5. Step 5: Solve for x
    x = 2,732,233,205.19/84,684.30
  6. Step 6: Final answer
    x = 32,263.75

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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.