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Finding the Fourth Proportional to 103,686.70, 155,554.72 and 33,566

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Solution

The fourth proportional to 103,686.70, 155,554.72 and 33,566 is: 50,356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,686.70 : 155,554.72 = 33,566 : x
  2. Step 2: Convert to fraction form
    103,686.70/155,554.72 = 33,566/x
  3. Step 3: Cross multiply
    103,686.70x = 155,554.72 × 33,566
  4. Step 4: Simplify right side
    103,686.70x = 5,221,349,731.52
  5. Step 5: Solve for x
    x = 5,221,349,731.52/103,686.70
  6. Step 6: Final answer
    x = 50,356.99

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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.