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Finding the Fourth Proportional to 51,415.03, 70,931.82 and 33,503.50

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Solution

The fourth proportional to 51,415.03, 70,931.82 and 33,503.50 is: 46,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,415.03 : 70,931.82 = 33,503.50 : x
  2. Step 2: Convert to fraction form
    51,415.03/70,931.82 = 33,503.50/x
  3. Step 3: Cross multiply
    51,415.03x = 70,931.82 × 33,503.50
  4. Step 4: Simplify right side
    51,415.03x = 2,376,464,231.37
  5. Step 5: Solve for x
    x = 2,376,464,231.37/51,415.03
  6. Step 6: Final answer
    x = 46,221.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.