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Finding the Fourth Proportional to 34,606.44, 51,903.99 and 9,648.18

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Solution

The fourth proportional to 34,606.44, 51,903.99 and 9,648.18 is: 14,470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,606.44 : 51,903.99 = 9,648.18 : x
  2. Step 2: Convert to fraction form
    34,606.44/51,903.99 = 9,648.18/x
  3. Step 3: Cross multiply
    34,606.44x = 51,903.99 × 9,648.18
  4. Step 4: Simplify right side
    34,606.44x = 500,779,038.24
  5. Step 5: Solve for x
    x = 500,779,038.24/34,606.44
  6. Step 6: Final answer
    x = 14,470.69

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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.