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Finding the Fourth Proportional to 51,089.32, 76,633.92 and 16,031.68

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Solution

The fourth proportional to 51,089.32, 76,633.92 and 16,031.68 is: 24,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,089.32 : 76,633.92 = 16,031.68 : x
  2. Step 2: Convert to fraction form
    51,089.32/76,633.92 = 16,031.68/x
  3. Step 3: Cross multiply
    51,089.32x = 76,633.92 × 16,031.68
  4. Step 4: Simplify right side
    51,089.32x = 1,228,570,482.59
  5. Step 5: Solve for x
    x = 1,228,570,482.59/51,089.32
  6. Step 6: Final answer
    x = 24,047.50

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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.