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Finding the Fourth Proportional to 83,300.36, 114,957.36 and 45,574.61

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Solution

The fourth proportional to 83,300.36, 114,957.36 and 45,574.61 is: 62,894.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,300.36 : 114,957.36 = 45,574.61 : x
  2. Step 2: Convert to fraction form
    83,300.36/114,957.36 = 45,574.61/x
  3. Step 3: Cross multiply
    83,300.36x = 114,957.36 × 45,574.61
  4. Step 4: Simplify right side
    83,300.36x = 5,239,136,273.84
  5. Step 5: Solve for x
    x = 5,239,136,273.84/83,300.36
  6. Step 6: Final answer
    x = 62,894.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.