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Finding the Fourth Proportional to 45,262, 67,893.12 and 14,097.28

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Solution

The fourth proportional to 45,262, 67,893.12 and 14,097.28 is: 21,145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,262 : 67,893.12 = 14,097.28 : x
  2. Step 2: Convert to fraction form
    45,262/67,893.12 = 14,097.28/x
  3. Step 3: Cross multiply
    45,262x = 67,893.12 × 14,097.28
  4. Step 4: Simplify right side
    45,262x = 957,108,322.71
  5. Step 5: Solve for x
    x = 957,108,322.71/45,262
  6. Step 6: Final answer
    x = 21,145.96

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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.