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Finding the Fourth Proportional to 110,491.40, 165,706.80 and 30,510.24

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Solution

The fourth proportional to 110,491.40, 165,706.80 and 30,510.24 is: 45,756.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,491.40 : 165,706.80 = 30,510.24 : x
  2. Step 2: Convert to fraction form
    110,491.40/165,706.80 = 30,510.24/x
  3. Step 3: Cross multiply
    110,491.40x = 165,706.80 × 30,510.24
  4. Step 4: Simplify right side
    110,491.40x = 5,055,754,237.63
  5. Step 5: Solve for x
    x = 5,055,754,237.63/110,491.40
  6. Step 6: Final answer
    x = 45,756.99

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1.5x scale

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.