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Finding the Fourth Proportional to 51,207, 76,750.14 and 23,094.12

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Solution

The fourth proportional to 51,207, 76,750.14 and 23,094.12 is: 34,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,207 : 76,750.14 = 23,094.12 : x
  2. Step 2: Convert to fraction form
    51,207/76,750.14 = 23,094.12/x
  3. Step 3: Cross multiply
    51,207x = 76,750.14 × 23,094.12
  4. Step 4: Simplify right side
    51,207x = 1,772,476,943.18
  5. Step 5: Solve for x
    x = 1,772,476,943.18/51,207
  6. Step 6: Final answer
    x = 34,613.96

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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.