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Finding the Fourth Proportional to 34,010.76, 51,018.30 and 9,050.40

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Solution

The fourth proportional to 34,010.76, 51,018.30 and 9,050.40 is: 13,576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,010.76 : 51,018.30 = 9,050.40 : x
  2. Step 2: Convert to fraction form
    34,010.76/51,018.30 = 9,050.40/x
  3. Step 3: Cross multiply
    34,010.76x = 51,018.30 × 9,050.40
  4. Step 4: Simplify right side
    34,010.76x = 461,736,022.32
  5. Step 5: Solve for x
    x = 461,736,022.32/34,010.76
  6. Step 6: Final answer
    x = 13,576.17

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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.