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Finding the Fourth Proportional to 33,046.94, 49,332.70 and 28,316

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Solution

The fourth proportional to 33,046.94, 49,332.70 and 28,316 is: 42,270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,046.94 : 49,332.70 = 28,316 : x
  2. Step 2: Convert to fraction form
    33,046.94/49,332.70 = 28,316/x
  3. Step 3: Cross multiply
    33,046.94x = 49,332.70 × 28,316
  4. Step 4: Simplify right side
    33,046.94x = 1,396,904,733.20
  5. Step 5: Solve for x
    x = 1,396,904,733.20/33,046.94
  6. Step 6: Final answer
    x = 42,270.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.