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Finding the Fourth Proportional to 83,460.96, 115,185.78 and 47,656.08

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Solution

The fourth proportional to 83,460.96, 115,185.78 and 47,656.08 is: 65,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,460.96 : 115,185.78 = 47,656.08 : x
  2. Step 2: Convert to fraction form
    83,460.96/115,185.78 = 47,656.08/x
  3. Step 3: Cross multiply
    83,460.96x = 115,185.78 × 47,656.08
  4. Step 4: Simplify right side
    83,460.96x = 5,489,302,746.54
  5. Step 5: Solve for x
    x = 5,489,302,746.54/83,460.96
  6. Step 6: Final answer
    x = 65,770.90

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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.