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Finding the Fourth Proportional to 34,196.40, 51,265.80 and 17,780.40

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Solution

The fourth proportional to 34,196.40, 51,265.80 and 17,780.40 is: 26,655.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,196.40 : 51,265.80 = 17,780.40 : x
  2. Step 2: Convert to fraction form
    34,196.40/51,265.80 = 17,780.40/x
  3. Step 3: Cross multiply
    34,196.40x = 51,265.80 × 17,780.40
  4. Step 4: Simplify right side
    34,196.40x = 911,526,430.32
  5. Step 5: Solve for x
    x = 911,526,430.32/34,196.40
  6. Step 6: Final answer
    x = 26,655.63

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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.