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Finding the Fourth Proportional to 35,761.64, 53,636.42 and 9,467.96

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Solution

The fourth proportional to 35,761.64, 53,636.42 and 9,467.96 is: 14,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,761.64 : 53,636.42 = 9,467.96 : x
  2. Step 2: Convert to fraction form
    35,761.64/53,636.42 = 9,467.96/x
  3. Step 3: Cross multiply
    35,761.64x = 53,636.42 × 9,467.96
  4. Step 4: Simplify right side
    35,761.64x = 507,827,479.10
  5. Step 5: Solve for x
    x = 507,827,479.10/35,761.64
  6. Step 6: Final answer
    x = 14,200.34

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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.