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Finding the Fourth Proportional to 83,022.48, 114,570.44 and 47,212.48

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Solution

The fourth proportional to 83,022.48, 114,570.44 and 47,212.48 is: 65,152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,022.48 : 114,570.44 = 47,212.48 : x
  2. Step 2: Convert to fraction form
    83,022.48/114,570.44 = 47,212.48/x
  3. Step 3: Cross multiply
    83,022.48x = 114,570.44 × 47,212.48
  4. Step 4: Simplify right side
    83,022.48x = 5,409,154,607.09
  5. Step 5: Solve for x
    x = 5,409,154,607.09/83,022.48
  6. Step 6: Final answer
    x = 65,152.89

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1.5x scale

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.