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Finding the Fourth Proportional to 83,010.46, 114,557.64 and 47,203.72

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Solution

The fourth proportional to 83,010.46, 114,557.64 and 47,203.72 is: 65,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,010.46 : 114,557.64 = 47,203.72 : x
  2. Step 2: Convert to fraction form
    83,010.46/114,557.64 = 47,203.72/x
  3. Step 3: Cross multiply
    83,010.46x = 114,557.64 × 47,203.72
  4. Step 4: Simplify right side
    83,010.46x = 5,407,546,762.42
  5. Step 5: Solve for x
    x = 5,407,546,762.42/83,010.46
  6. Step 6: Final answer
    x = 65,142.96

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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.