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Finding the Fourth Proportional to 70,802.80, 106,031.40 and 33,823.60

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Solution

The fourth proportional to 70,802.80, 106,031.40 and 33,823.60 is: 50,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,802.80 : 106,031.40 = 33,823.60 : x
  2. Step 2: Convert to fraction form
    70,802.80/106,031.40 = 33,823.60/x
  3. Step 3: Cross multiply
    70,802.80x = 106,031.40 × 33,823.60
  4. Step 4: Simplify right side
    70,802.80x = 3,586,363,661.04
  5. Step 5: Solve for x
    x = 3,586,363,661.04/70,802.80
  6. Step 6: Final answer
    x = 50,652.85

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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.