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Finding the Fourth Proportional to 83,030.63, 114,581.66 and 47,220.59

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Solution

The fourth proportional to 83,030.63, 114,581.66 and 47,220.59 is: 65,164.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,030.63 : 114,581.66 = 47,220.59 : x
  2. Step 2: Convert to fraction form
    83,030.63/114,581.66 = 47,220.59/x
  3. Step 3: Cross multiply
    83,030.63x = 114,581.66 × 47,220.59
  4. Step 4: Simplify right side
    83,030.63x = 5,410,613,638.73
  5. Step 5: Solve for x
    x = 5,410,613,638.73/83,030.63
  6. Step 6: Final answer
    x = 65,164.07

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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.