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Finding the Fourth Proportional to 51,765.93, 77,602.93 and 20,168.66

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Solution

The fourth proportional to 51,765.93, 77,602.93 and 20,168.66 is: 30,235.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,765.93 : 77,602.93 = 20,168.66 : x
  2. Step 2: Convert to fraction form
    51,765.93/77,602.93 = 20,168.66/x
  3. Step 3: Cross multiply
    51,765.93x = 77,602.93 × 20,168.66
  4. Step 4: Simplify right side
    51,765.93x = 1,565,147,253.76
  5. Step 5: Solve for x
    x = 1,565,147,253.76/51,765.93
  6. Step 6: Final answer
    x = 30,235.08

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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.