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Finding the Fourth Proportional to 84,644.64, 116,810.64 and 48,842.10

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Solution

The fourth proportional to 84,644.64, 116,810.64 and 48,842.10 is: 67,402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,644.64 : 116,810.64 = 48,842.10 : x
  2. Step 2: Convert to fraction form
    84,644.64/116,810.64 = 48,842.10/x
  3. Step 3: Cross multiply
    84,644.64x = 116,810.64 × 48,842.10
  4. Step 4: Simplify right side
    84,644.64x = 5,705,276,959.94
  5. Step 5: Solve for x
    x = 5,705,276,959.94/84,644.64
  6. Step 6: Final answer
    x = 67,402.70

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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.