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Finding the Fourth Proportional to 80,046, 120,031.28 and 46,775.64

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Solution

The fourth proportional to 80,046, 120,031.28 and 46,775.64 is: 70,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,046 : 120,031.28 = 46,775.64 : x
  2. Step 2: Convert to fraction form
    80,046/120,031.28 = 46,775.64/x
  3. Step 3: Cross multiply
    80,046x = 120,031.28 × 46,775.64
  4. Step 4: Simplify right side
    80,046x = 5,614,539,942.02
  5. Step 5: Solve for x
    x = 5,614,539,942.02/80,046
  6. Step 6: Final answer
    x = 70,141.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.