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Finding the Fourth Proportional to 35,697.24, 49,260.94 and 19,783.17

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Solution

The fourth proportional to 35,697.24, 49,260.94 and 19,783.17 is: 27,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,697.24 : 49,260.94 = 19,783.17 : x
  2. Step 2: Convert to fraction form
    35,697.24/49,260.94 = 19,783.17/x
  3. Step 3: Cross multiply
    35,697.24x = 49,260.94 × 19,783.17
  4. Step 4: Simplify right side
    35,697.24x = 974,537,550.38
  5. Step 5: Solve for x
    x = 974,537,550.38/35,697.24
  6. Step 6: Final answer
    x = 27,300.08

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Why These Related Problems?

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