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Finding the Fourth Proportional to 96,461.80, 144,718.30 and 34,125.80

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Solution

The fourth proportional to 96,461.80, 144,718.30 and 34,125.80 is: 51,197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,461.80 : 144,718.30 = 34,125.80 : x
  2. Step 2: Convert to fraction form
    96,461.80/144,718.30 = 34,125.80/x
  3. Step 3: Cross multiply
    96,461.80x = 144,718.30 × 34,125.80
  4. Step 4: Simplify right side
    96,461.80x = 4,938,627,762.14
  5. Step 5: Solve for x
    x = 4,938,627,762.14/96,461.80
  6. Step 6: Final answer
    x = 51,197.76

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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.