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Finding the Fourth Proportional to 84,780.63, 117,002.73 and 47,054.88

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Solution

The fourth proportional to 84,780.63, 117,002.73 and 47,054.88 is: 64,938.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,780.63 : 117,002.73 = 47,054.88 : x
  2. Step 2: Convert to fraction form
    84,780.63/117,002.73 = 47,054.88/x
  3. Step 3: Cross multiply
    84,780.63x = 117,002.73 × 47,054.88
  4. Step 4: Simplify right side
    84,780.63x = 5,505,549,419.82
  5. Step 5: Solve for x
    x = 5,505,549,419.82/84,780.63
  6. Step 6: Final answer
    x = 64,938.77

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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.