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Finding the Fourth Proportional to 45,946.20, 64,455.90 and 45,946.20

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Solution

The fourth proportional to 45,946.20, 64,455.90 and 45,946.20 is: 64,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,946.20 : 64,455.90 = 45,946.20 : x
  2. Step 2: Convert to fraction form
    45,946.20/64,455.90 = 45,946.20/x
  3. Step 3: Cross multiply
    45,946.20x = 64,455.90 × 45,946.20
  4. Step 4: Simplify right side
    45,946.20x = 2,961,503,672.58
  5. Step 5: Solve for x
    x = 2,961,503,672.58/45,946.20
  6. Step 6: Final answer
    x = 64,455.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.