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Finding the Fourth Proportional to 55,730.46, 83,574.90 and 22,439.28

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Solution

The fourth proportional to 55,730.46, 83,574.90 and 22,439.28 is: 33,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,730.46 : 83,574.90 = 22,439.28 : x
  2. Step 2: Convert to fraction form
    55,730.46/83,574.90 = 22,439.28/x
  3. Step 3: Cross multiply
    55,730.46x = 83,574.90 × 22,439.28
  4. Step 4: Simplify right side
    55,730.46x = 1,875,360,582.07
  5. Step 5: Solve for x
    x = 1,875,360,582.07/55,730.46
  6. Step 6: Final answer
    x = 33,650.55

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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.