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Finding the Fourth Proportional to 82,030.50, 123,045.84 and 19,701

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Solution

The fourth proportional to 82,030.50, 123,045.84 and 19,701 is: 29,551.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,030.50 : 123,045.84 = 19,701 : x
  2. Step 2: Convert to fraction form
    82,030.50/123,045.84 = 19,701/x
  3. Step 3: Cross multiply
    82,030.50x = 123,045.84 × 19,701
  4. Step 4: Simplify right side
    82,030.50x = 2,424,126,093.84
  5. Step 5: Solve for x
    x = 2,424,126,093.84/82,030.50
  6. Step 6: Final answer
    x = 29,551.52

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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.