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Finding the Fourth Proportional to 35,520, 53,280.96 and 10,896

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Solution

The fourth proportional to 35,520, 53,280.96 and 10,896 is: 16,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,520 : 53,280.96 = 10,896 : x
  2. Step 2: Convert to fraction form
    35,520/53,280.96 = 10,896/x
  3. Step 3: Cross multiply
    35,520x = 53,280.96 × 10,896
  4. Step 4: Simplify right side
    35,520x = 580,549,340.16
  5. Step 5: Solve for x
    x = 580,549,340.16/35,520
  6. Step 6: Final answer
    x = 16,344.29

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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.