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Finding the Fourth Proportional to 84,071.12, 116,018.04 and 46,346

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Solution

The fourth proportional to 84,071.12, 116,018.04 and 46,346 is: 63,957.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,071.12 : 116,018.04 = 46,346 : x
  2. Step 2: Convert to fraction form
    84,071.12/116,018.04 = 46,346/x
  3. Step 3: Cross multiply
    84,071.12x = 116,018.04 × 46,346
  4. Step 4: Simplify right side
    84,071.12x = 5,376,972,081.84
  5. Step 5: Solve for x
    x = 5,376,972,081.84/84,071.12
  6. Step 6: Final answer
    x = 63,957.42

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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.