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Finding the Fourth Proportional to 35,838.65, 49,434.48 and 28,282.56

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Solution

The fourth proportional to 35,838.65, 49,434.48 and 28,282.56 is: 39,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,838.65 : 49,434.48 = 28,282.56 : x
  2. Step 2: Convert to fraction form
    35,838.65/49,434.48 = 28,282.56/x
  3. Step 3: Cross multiply
    35,838.65x = 49,434.48 × 28,282.56
  4. Step 4: Simplify right side
    35,838.65x = 1,398,133,646.67
  5. Step 5: Solve for x
    x = 1,398,133,646.67/35,838.65
  6. Step 6: Final answer
    x = 39,011.90

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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.