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Finding the Fourth Proportional to 55,954.92, 83,932.40 and 14,405.16

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Solution

The fourth proportional to 55,954.92, 83,932.40 and 14,405.16 is: 21,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,954.92 : 83,932.40 = 14,405.16 : x
  2. Step 2: Convert to fraction form
    55,954.92/83,932.40 = 14,405.16/x
  3. Step 3: Cross multiply
    55,954.92x = 83,932.40 × 14,405.16
  4. Step 4: Simplify right side
    55,954.92x = 1,209,059,651.18
  5. Step 5: Solve for x
    x = 1,209,059,651.18/55,954.92
  6. Step 6: Final answer
    x = 21,607.75

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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.