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Finding the Fourth Proportional to 35,752.89, 49,341.91 and 19,842.47

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Solution

The fourth proportional to 35,752.89, 49,341.91 and 19,842.47 is: 27,384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,752.89 : 49,341.91 = 19,842.47 : x
  2. Step 2: Convert to fraction form
    35,752.89/49,341.91 = 19,842.47/x
  3. Step 3: Cross multiply
    35,752.89x = 49,341.91 × 19,842.47
  4. Step 4: Simplify right side
    35,752.89x = 979,065,294.84
  5. Step 5: Solve for x
    x = 979,065,294.84/35,752.89
  6. Step 6: Final answer
    x = 27,384.23

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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.