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Finding the Fourth Proportional to 35,975.64, 53,956.92 and 9,674.24

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Solution

The fourth proportional to 35,975.64, 53,956.92 and 9,674.24 is: 14,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,975.64 : 53,956.92 = 9,674.24 : x
  2. Step 2: Convert to fraction form
    35,975.64/53,956.92 = 9,674.24/x
  3. Step 3: Cross multiply
    35,975.64x = 53,956.92 × 9,674.24
  4. Step 4: Simplify right side
    35,975.64x = 521,992,193.74
  5. Step 5: Solve for x
    x = 521,992,193.74/35,975.64
  6. Step 6: Final answer
    x = 14,509.60

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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.