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Finding the Fourth Proportional to 45,988, 69,045.06 and 23,816.68

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Solution

The fourth proportional to 45,988, 69,045.06 and 23,816.68 is: 35,757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,988 : 69,045.06 = 23,816.68 : x
  2. Step 2: Convert to fraction form
    45,988/69,045.06 = 23,816.68/x
  3. Step 3: Cross multiply
    45,988x = 69,045.06 × 23,816.68
  4. Step 4: Simplify right side
    45,988x = 1,644,424,099.60
  5. Step 5: Solve for x
    x = 1,644,424,099.60/45,988
  6. Step 6: Final answer
    x = 35,757.68

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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.