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Finding the Fourth Proportional to 34,049.63, 51,041.61 and 17,417.50

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Solution

The fourth proportional to 34,049.63, 51,041.61 and 17,417.50 is: 26,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,049.63 : 51,041.61 = 17,417.50 : x
  2. Step 2: Convert to fraction form
    34,049.63/51,041.61 = 17,417.50/x
  3. Step 3: Cross multiply
    34,049.63x = 51,041.61 × 17,417.50
  4. Step 4: Simplify right side
    34,049.63x = 889,017,114.57
  5. Step 5: Solve for x
    x = 889,017,114.57/34,049.63
  6. Step 6: Final answer
    x = 26,109.45

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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.