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Finding the Fourth Proportional to 84,728.86, 116,931.30 and 47,003.14

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Solution

The fourth proportional to 84,728.86, 116,931.30 and 47,003.14 is: 64,867.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,728.86 : 116,931.30 = 47,003.14 : x
  2. Step 2: Convert to fraction form
    84,728.86/116,931.30 = 47,003.14/x
  3. Step 3: Cross multiply
    84,728.86x = 116,931.30 × 47,003.14
  4. Step 4: Simplify right side
    84,728.86x = 5,496,138,264.28
  5. Step 5: Solve for x
    x = 5,496,138,264.28/84,728.86
  6. Step 6: Final answer
    x = 64,867.37

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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.