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Finding the Fourth Proportional to 34,510.60, 51,767.05 and 9,548.56

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Solution

The fourth proportional to 34,510.60, 51,767.05 and 9,548.56 is: 14,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,510.60 : 51,767.05 = 9,548.56 : x
  2. Step 2: Convert to fraction form
    34,510.60/51,767.05 = 9,548.56/x
  3. Step 3: Cross multiply
    34,510.60x = 51,767.05 × 9,548.56
  4. Step 4: Simplify right side
    34,510.60x = 494,300,782.95
  5. Step 5: Solve for x
    x = 494,300,782.95/34,510.60
  6. Step 6: Final answer
    x = 14,323.16

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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.