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Finding the Fourth Proportional to 34,011.46, 51,017.11 and 9,051.50

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Solution

The fourth proportional to 34,011.46, 51,017.11 and 9,051.50 is: 13,577.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,011.46 : 51,017.11 = 9,051.50 : x
  2. Step 2: Convert to fraction form
    34,011.46/51,017.11 = 9,051.50/x
  3. Step 3: Cross multiply
    34,011.46x = 51,017.11 × 9,051.50
  4. Step 4: Simplify right side
    34,011.46x = 461,781,371.17
  5. Step 5: Solve for x
    x = 461,781,371.17/34,011.46
  6. Step 6: Final answer
    x = 13,577.23

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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.