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Finding the Fourth Proportional to 96,802.92, 145,182.48 and 36,809.94

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Solution

The fourth proportional to 96,802.92, 145,182.48 and 36,809.94 is: 55,206.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,802.92 : 145,182.48 = 36,809.94 : x
  2. Step 2: Convert to fraction form
    96,802.92/145,182.48 = 36,809.94/x
  3. Step 3: Cross multiply
    96,802.92x = 145,182.48 × 36,809.94
  4. Step 4: Simplify right side
    96,802.92x = 5,344,158,784.25
  5. Step 5: Solve for x
    x = 5,344,158,784.25/96,802.92
  6. Step 6: Final answer
    x = 55,206.58

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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.