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Finding the Fourth Proportional to 34,018.10, 51,019.86 and 10,641.50

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Solution

The fourth proportional to 34,018.10, 51,019.86 and 10,641.50 is: 15,959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,018.10 : 51,019.86 = 10,641.50 : x
  2. Step 2: Convert to fraction form
    34,018.10/51,019.86 = 10,641.50/x
  3. Step 3: Cross multiply
    34,018.10x = 51,019.86 × 10,641.50
  4. Step 4: Simplify right side
    34,018.10x = 542,927,840.19
  5. Step 5: Solve for x
    x = 542,927,840.19/34,018.10
  6. Step 6: Final answer
    x = 15,959.97

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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.