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Finding the Fourth Proportional to 106,573.80, 159,750.54 and 39,966.96

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Solution

The fourth proportional to 106,573.80, 159,750.54 and 39,966.96 is: 59,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,573.80 : 159,750.54 = 39,966.96 : x
  2. Step 2: Convert to fraction form
    106,573.80/159,750.54 = 39,966.96/x
  3. Step 3: Cross multiply
    106,573.80x = 159,750.54 × 39,966.96
  4. Step 4: Simplify right side
    106,573.80x = 6,384,743,442.16
  5. Step 5: Solve for x
    x = 6,384,743,442.16/106,573.80
  6. Step 6: Final answer
    x = 59,909.13

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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.