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Finding the Fourth Proportional to 45,578, 68,367.48 and 12,746

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Solution

The fourth proportional to 45,578, 68,367.48 and 12,746 is: 19,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,578 : 68,367.48 = 12,746 : x
  2. Step 2: Convert to fraction form
    45,578/68,367.48 = 12,746/x
  3. Step 3: Cross multiply
    45,578x = 68,367.48 × 12,746
  4. Step 4: Simplify right side
    45,578x = 871,411,900.08
  5. Step 5: Solve for x
    x = 871,411,900.08/45,578
  6. Step 6: Final answer
    x = 19,119.13

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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.