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Finding the Fourth Proportional to 116,709.76, 175,020.36 and 37,802.80

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Solution

The fourth proportional to 116,709.76, 175,020.36 and 37,802.80 is: 56,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,709.76 : 175,020.36 = 37,802.80 : x
  2. Step 2: Convert to fraction form
    116,709.76/175,020.36 = 37,802.80/x
  3. Step 3: Cross multiply
    116,709.76x = 175,020.36 × 37,802.80
  4. Step 4: Simplify right side
    116,709.76x = 6,616,259,665.01
  5. Step 5: Solve for x
    x = 6,616,259,665.01/116,709.76
  6. Step 6: Final answer
    x = 56,689.86

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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.