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Finding the Fourth Proportional to 64,282.96, 96,486.63 and 31,026.44

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Solution

The fourth proportional to 64,282.96, 96,486.63 and 31,026.44 is: 46,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,282.96 : 96,486.63 = 31,026.44 : x
  2. Step 2: Convert to fraction form
    64,282.96/96,486.63 = 31,026.44/x
  3. Step 3: Cross multiply
    64,282.96x = 96,486.63 × 31,026.44
  4. Step 4: Simplify right side
    64,282.96x = 2,993,636,154.06
  5. Step 5: Solve for x
    x = 2,993,636,154.06/64,282.96
  6. Step 6: Final answer
    x = 46,569.67

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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.