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Finding the Fourth Proportional to 43,505.02, 60,022.65 and 24,382

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Solution

The fourth proportional to 43,505.02, 60,022.65 and 24,382 is: 33,639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,505.02 : 60,022.65 = 24,382 : x
  2. Step 2: Convert to fraction form
    43,505.02/60,022.65 = 24,382/x
  3. Step 3: Cross multiply
    43,505.02x = 60,022.65 × 24,382
  4. Step 4: Simplify right side
    43,505.02x = 1,463,472,252.30
  5. Step 5: Solve for x
    x = 1,463,472,252.30/43,505.02
  6. Step 6: Final answer
    x = 33,639.16

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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.