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Finding the Fourth Proportional to 32,988, 49,358 and 23,146.48

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Solution

The fourth proportional to 32,988, 49,358 and 23,146.48 is: 34,632.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,988 : 49,358 = 23,146.48 : x
  2. Step 2: Convert to fraction form
    32,988/49,358 = 23,146.48/x
  3. Step 3: Cross multiply
    32,988x = 49,358 × 23,146.48
  4. Step 4: Simplify right side
    32,988x = 1,142,463,959.84
  5. Step 5: Solve for x
    x = 1,142,463,959.84/32,988
  6. Step 6: Final answer
    x = 34,632.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.