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Finding the Fourth Proportional to 84,490.97, 116,561.16 and 48,659.67

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Solution

The fourth proportional to 84,490.97, 116,561.16 and 48,659.67 is: 67,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,490.97 : 116,561.16 = 48,659.67 : x
  2. Step 2: Convert to fraction form
    84,490.97/116,561.16 = 48,659.67/x
  3. Step 3: Cross multiply
    84,490.97x = 116,561.16 × 48,659.67
  4. Step 4: Simplify right side
    84,490.97x = 5,671,827,580.42
  5. Step 5: Solve for x
    x = 5,671,827,580.42/84,490.97
  6. Step 6: Final answer
    x = 67,129.40

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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.