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Finding the Fourth Proportional to 55,362.43, 83,041.62 and 30,414.16

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Solution

The fourth proportional to 55,362.43, 83,041.62 and 30,414.16 is: 45,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,362.43 : 83,041.62 = 30,414.16 : x
  2. Step 2: Convert to fraction form
    55,362.43/83,041.62 = 30,414.16/x
  3. Step 3: Cross multiply
    55,362.43x = 83,041.62 × 30,414.16
  4. Step 4: Simplify right side
    55,362.43x = 2,525,641,117.34
  5. Step 5: Solve for x
    x = 2,525,641,117.34/55,362.43
  6. Step 6: Final answer
    x = 45,620.13

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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.