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Finding the Fourth Proportional to 34,415.68, 51,630.90 and 11,041.96

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Solution

The fourth proportional to 34,415.68, 51,630.90 and 11,041.96 is: 16,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,415.68 : 51,630.90 = 11,041.96 : x
  2. Step 2: Convert to fraction form
    34,415.68/51,630.90 = 11,041.96/x
  3. Step 3: Cross multiply
    34,415.68x = 51,630.90 × 11,041.96
  4. Step 4: Simplify right side
    34,415.68x = 570,106,332.56
  5. Step 5: Solve for x
    x = 570,106,332.56/34,415.68
  6. Step 6: Final answer
    x = 16,565.31

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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.