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Finding the Fourth Proportional to 45,397, 68,095.50 and 12,565

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Solution

The fourth proportional to 45,397, 68,095.50 and 12,565 is: 18,847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,397 : 68,095.50 = 12,565 : x
  2. Step 2: Convert to fraction form
    45,397/68,095.50 = 12,565/x
  3. Step 3: Cross multiply
    45,397x = 68,095.50 × 12,565
  4. Step 4: Simplify right side
    45,397x = 855,619,957.50
  5. Step 5: Solve for x
    x = 855,619,957.50/45,397
  6. Step 6: Final answer
    x = 18,847.50

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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.