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Finding the Fourth Proportional to 82,989.40, 114,514.56 and 47,178.64

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Solution

The fourth proportional to 82,989.40, 114,514.56 and 47,178.64 is: 65,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,989.40 : 114,514.56 = 47,178.64 : x
  2. Step 2: Convert to fraction form
    82,989.40/114,514.56 = 47,178.64/x
  3. Step 3: Cross multiply
    82,989.40x = 114,514.56 × 47,178.64
  4. Step 4: Simplify right side
    82,989.40x = 5,402,641,201.00
  5. Step 5: Solve for x
    x = 5,402,641,201.00/82,989.40
  6. Step 6: Final answer
    x = 65,100.38

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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.