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Finding the Fourth Proportional to 84,490.88, 116,597.54 and 52,659.78

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Solution

The fourth proportional to 84,490.88, 116,597.54 and 52,659.78 is: 72,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,490.88 : 116,597.54 = 52,659.78 : x
  2. Step 2: Convert to fraction form
    84,490.88/116,597.54 = 52,659.78/x
  3. Step 3: Cross multiply
    84,490.88x = 116,597.54 × 52,659.78
  4. Step 4: Simplify right side
    84,490.88x = 6,140,000,541.64
  5. Step 5: Solve for x
    x = 6,140,000,541.64/84,490.88
  6. Step 6: Final answer
    x = 72,670.58

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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.