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Finding the Fourth Proportional to 34,139.40, 51,209.10 and 13,349.40

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Solution

The fourth proportional to 34,139.40, 51,209.10 and 13,349.40 is: 20,024.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,139.40 : 51,209.10 = 13,349.40 : x
  2. Step 2: Convert to fraction form
    34,139.40/51,209.10 = 13,349.40/x
  3. Step 3: Cross multiply
    34,139.40x = 51,209.10 × 13,349.40
  4. Step 4: Simplify right side
    34,139.40x = 683,610,759.54
  5. Step 5: Solve for x
    x = 683,610,759.54/34,139.40
  6. Step 6: Final answer
    x = 20,024.10

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1.5x scale

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.