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Finding the Fourth Proportional to 35,653.30, 49,206.70 and 20,543.06

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Solution

The fourth proportional to 35,653.30, 49,206.70 and 20,543.06 is: 28,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,653.30 : 49,206.70 = 20,543.06 : x
  2. Step 2: Convert to fraction form
    35,653.30/49,206.70 = 20,543.06/x
  3. Step 3: Cross multiply
    35,653.30x = 49,206.70 × 20,543.06
  4. Step 4: Simplify right side
    35,653.30x = 1,010,856,190.50
  5. Step 5: Solve for x
    x = 1,010,856,190.50/35,653.30
  6. Step 6: Final answer
    x = 28,352.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.