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Finding the Fourth Proportional to 83,465.68, 125,111.04 and 39,055

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Solution

The fourth proportional to 83,465.68, 125,111.04 and 39,055 is: 58,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,465.68 : 125,111.04 = 39,055 : x
  2. Step 2: Convert to fraction form
    83,465.68/125,111.04 = 39,055/x
  3. Step 3: Cross multiply
    83,465.68x = 125,111.04 × 39,055
  4. Step 4: Simplify right side
    83,465.68x = 4,886,211,667.20
  5. Step 5: Solve for x
    x = 4,886,211,667.20/83,465.68
  6. Step 6: Final answer
    x = 58,541.57

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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.