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Finding the Fourth Proportional to 35,496, 53,244.96 and 10,872

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Solution

The fourth proportional to 35,496, 53,244.96 and 10,872 is: 16,308.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,496 : 53,244.96 = 10,872 : x
  2. Step 2: Convert to fraction form
    35,496/53,244.96 = 10,872/x
  3. Step 3: Cross multiply
    35,496x = 53,244.96 × 10,872
  4. Step 4: Simplify right side
    35,496x = 578,879,205.12
  5. Step 5: Solve for x
    x = 578,879,205.12/35,496
  6. Step 6: Final answer
    x = 16,308.29

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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.