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Finding the Fourth Proportional to 83,765.57, 115,623.43 and 53,632.06

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Solution

The fourth proportional to 83,765.57, 115,623.43 and 53,632.06 is: 74,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,765.57 : 115,623.43 = 53,632.06 : x
  2. Step 2: Convert to fraction form
    83,765.57/115,623.43 = 53,632.06/x
  3. Step 3: Cross multiply
    83,765.57x = 115,623.43 × 53,632.06
  4. Step 4: Simplify right side
    83,765.57x = 6,201,122,312.03
  5. Step 5: Solve for x
    x = 6,201,122,312.03/83,765.57
  6. Step 6: Final answer
    x = 74,029.49

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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.