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Finding the Fourth Proportional to 84,070.71, 116,018.02 and 46,344.96

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Solution

The fourth proportional to 84,070.71, 116,018.02 and 46,344.96 is: 63,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,070.71 : 116,018.02 = 46,344.96 : x
  2. Step 2: Convert to fraction form
    84,070.71/116,018.02 = 46,344.96/x
  3. Step 3: Cross multiply
    84,070.71x = 116,018.02 × 46,344.96
  4. Step 4: Simplify right side
    84,070.71x = 5,376,850,554.11
  5. Step 5: Solve for x
    x = 5,376,850,554.11/84,070.71
  6. Step 6: Final answer
    x = 63,956.29

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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.