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Finding the Fourth Proportional to 35,775.72, 53,661.24 and 9,479.88

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Solution

The fourth proportional to 35,775.72, 53,661.24 and 9,479.88 is: 14,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,775.72 : 53,661.24 = 9,479.88 : x
  2. Step 2: Convert to fraction form
    35,775.72/53,661.24 = 9,479.88/x
  3. Step 3: Cross multiply
    35,775.72x = 53,661.24 × 9,479.88
  4. Step 4: Simplify right side
    35,775.72x = 508,702,115.85
  5. Step 5: Solve for x
    x = 508,702,115.85/35,775.72
  6. Step 6: Final answer
    x = 14,219.20

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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.