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Finding the Fourth Proportional to 84,214.88, 116,216.78 and 45,974.47

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Solution

The fourth proportional to 84,214.88, 116,216.78 and 45,974.47 is: 63,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,214.88 : 116,216.78 = 45,974.47 : x
  2. Step 2: Convert to fraction form
    84,214.88/116,216.78 = 45,974.47/x
  3. Step 3: Cross multiply
    84,214.88x = 116,216.78 × 45,974.47
  4. Step 4: Simplify right side
    84,214.88x = 5,343,004,345.19
  5. Step 5: Solve for x
    x = 5,343,004,345.19/84,214.88
  6. Step 6: Final answer
    x = 63,444.89

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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.