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Finding the Fourth Proportional to 82,320.51, 113,602.31 and 44,594.76

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Solution

The fourth proportional to 82,320.51, 113,602.31 and 44,594.76 is: 61,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,320.51 : 113,602.31 = 44,594.76 : x
  2. Step 2: Convert to fraction form
    82,320.51/113,602.31 = 44,594.76/x
  3. Step 3: Cross multiply
    82,320.51x = 113,602.31 × 44,594.76
  4. Step 4: Simplify right side
    82,320.51x = 5,066,067,577.38
  5. Step 5: Solve for x
    x = 5,066,067,577.38/82,320.51
  6. Step 6: Final answer
    x = 61,540.77

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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.