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Finding the Fourth Proportional to 51,909.75, 77,877.63 and 14,973.75

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Solution

The fourth proportional to 51,909.75, 77,877.63 and 14,973.75 is: 22,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,909.75 : 77,877.63 = 14,973.75 : x
  2. Step 2: Convert to fraction form
    51,909.75/77,877.63 = 14,973.75/x
  3. Step 3: Cross multiply
    51,909.75x = 77,877.63 × 14,973.75
  4. Step 4: Simplify right side
    51,909.75x = 1,166,120,162.21
  5. Step 5: Solve for x
    x = 1,166,120,162.21/51,909.75
  6. Step 6: Final answer
    x = 22,464.38

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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.