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Finding the Fourth Proportional to 55,554.24, 83,330.64 and 13,434

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Solution

The fourth proportional to 55,554.24, 83,330.64 and 13,434 is: 20,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,554.24 : 83,330.64 = 13,434 : x
  2. Step 2: Convert to fraction form
    55,554.24/83,330.64 = 13,434/x
  3. Step 3: Cross multiply
    55,554.24x = 83,330.64 × 13,434
  4. Step 4: Simplify right side
    55,554.24x = 1,119,463,817.76
  5. Step 5: Solve for x
    x = 1,119,463,817.76/55,554.24
  6. Step 6: Final answer
    x = 20,150.83

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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.