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Finding the Fourth Proportional to 84,133.16, 116,103.76 and 46,407.40

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Solution

The fourth proportional to 84,133.16, 116,103.76 and 46,407.40 is: 64,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,133.16 : 116,103.76 = 46,407.40 : x
  2. Step 2: Convert to fraction form
    84,133.16/116,103.76 = 46,407.40/x
  3. Step 3: Cross multiply
    84,133.16x = 116,103.76 × 46,407.40
  4. Step 4: Simplify right side
    84,133.16x = 5,388,073,631.82
  5. Step 5: Solve for x
    x = 5,388,073,631.82/84,133.16
  6. Step 6: Final answer
    x = 64,042.21

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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.