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Finding the Fourth Proportional to 35,700.69, 49,266.22 and 19,785

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Solution

The fourth proportional to 35,700.69, 49,266.22 and 19,785 is: 27,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,700.69 : 49,266.22 = 19,785 : x
  2. Step 2: Convert to fraction form
    35,700.69/49,266.22 = 19,785/x
  3. Step 3: Cross multiply
    35,700.69x = 49,266.22 × 19,785
  4. Step 4: Simplify right side
    35,700.69x = 974,732,162.70
  5. Step 5: Solve for x
    x = 974,732,162.70/35,700.69
  6. Step 6: Final answer
    x = 27,302.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.