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Finding the Fourth Proportional to 74,703, 112,054.50 and 27,977.88

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Solution

The fourth proportional to 74,703, 112,054.50 and 27,977.88 is: 41,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,703 : 112,054.50 = 27,977.88 : x
  2. Step 2: Convert to fraction form
    74,703/112,054.50 = 27,977.88/x
  3. Step 3: Cross multiply
    74,703x = 112,054.50 × 27,977.88
  4. Step 4: Simplify right side
    74,703x = 3,135,047,354.46
  5. Step 5: Solve for x
    x = 3,135,047,354.46/74,703
  6. Step 6: Final answer
    x = 41,966.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.