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Finding the Fourth Proportional to 34,126.08, 51,189.12 and 13,335

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Solution

The fourth proportional to 34,126.08, 51,189.12 and 13,335 is: 20,002.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,126.08 : 51,189.12 = 13,335 : x
  2. Step 2: Convert to fraction form
    34,126.08/51,189.12 = 13,335/x
  3. Step 3: Cross multiply
    34,126.08x = 51,189.12 × 13,335
  4. Step 4: Simplify right side
    34,126.08x = 682,606,915.20
  5. Step 5: Solve for x
    x = 682,606,915.20/34,126.08
  6. Step 6: Final answer
    x = 20,002.50

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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.