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Finding the Fourth Proportional to 34,010.50, 51,018.69 and 9,386.50

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Solution

The fourth proportional to 34,010.50, 51,018.69 and 9,386.50 is: 14,080.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,010.50 : 51,018.69 = 9,386.50 : x
  2. Step 2: Convert to fraction form
    34,010.50/51,018.69 = 9,386.50/x
  3. Step 3: Cross multiply
    34,010.50x = 51,018.69 × 9,386.50
  4. Step 4: Simplify right side
    34,010.50x = 478,886,933.69
  5. Step 5: Solve for x
    x = 478,886,933.69/34,010.50
  6. Step 6: Final answer
    x = 14,080.56

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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.