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Finding the Fourth Proportional to 83,300.76, 114,954.60 and 45,574.92

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Solution

The fourth proportional to 83,300.76, 114,954.60 and 45,574.92 is: 62,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,300.76 : 114,954.60 = 45,574.92 : x
  2. Step 2: Convert to fraction form
    83,300.76/114,954.60 = 45,574.92/x
  3. Step 3: Cross multiply
    83,300.76x = 114,954.60 × 45,574.92
  4. Step 4: Simplify right side
    83,300.76x = 5,239,046,698.63
  5. Step 5: Solve for x
    x = 5,239,046,698.63/83,300.76
  6. Step 6: Final answer
    x = 62,893.14

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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.