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Finding the Fourth Proportional to 84,657.88, 116,821.78 and 46,411.32

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Solution

The fourth proportional to 84,657.88, 116,821.78 and 46,411.32 is: 64,044.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,657.88 : 116,821.78 = 46,411.32 : x
  2. Step 2: Convert to fraction form
    84,657.88/116,821.78 = 46,411.32/x
  3. Step 3: Cross multiply
    84,657.88x = 116,821.78 × 46,411.32
  4. Step 4: Simplify right side
    84,657.88x = 5,421,853,014.55
  5. Step 5: Solve for x
    x = 5,421,853,014.55/84,657.88
  6. Step 6: Final answer
    x = 64,044.28

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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.