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Finding the Fourth Proportional to 33,125.84, 49,711.80 and 21,410

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Solution

The fourth proportional to 33,125.84, 49,711.80 and 21,410 is: 32,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,125.84 : 49,711.80 = 21,410 : x
  2. Step 2: Convert to fraction form
    33,125.84/49,711.80 = 21,410/x
  3. Step 3: Cross multiply
    33,125.84x = 49,711.80 × 21,410
  4. Step 4: Simplify right side
    33,125.84x = 1,064,329,638.00
  5. Step 5: Solve for x
    x = 1,064,329,638.00/33,125.84
  6. Step 6: Final answer
    x = 32,129.89

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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.