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Finding the Fourth Proportional to 84,141.72, 116,078.73 and 53,498.40

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Solution

The fourth proportional to 84,141.72, 116,078.73 and 53,498.40 is: 73,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,141.72 : 116,078.73 = 53,498.40 : x
  2. Step 2: Convert to fraction form
    84,141.72/116,078.73 = 53,498.40/x
  3. Step 3: Cross multiply
    84,141.72x = 116,078.73 × 53,498.40
  4. Step 4: Simplify right side
    84,141.72x = 6,210,026,329.03
  5. Step 5: Solve for x
    x = 6,210,026,329.03/84,141.72
  6. Step 6: Final answer
    x = 73,804.37

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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.