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Finding the Fourth Proportional to 81,368.38, 112,243.26 and 57,206.32

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Solution

The fourth proportional to 81,368.38, 112,243.26 and 57,206.32 is: 78,913.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,368.38 : 112,243.26 = 57,206.32 : x
  2. Step 2: Convert to fraction form
    81,368.38/112,243.26 = 57,206.32/x
  3. Step 3: Cross multiply
    81,368.38x = 112,243.26 × 57,206.32
  4. Step 4: Simplify right side
    81,368.38x = 6,421,023,849.40
  5. Step 5: Solve for x
    x = 6,421,023,849.40/81,368.38
  6. Step 6: Final answer
    x = 78,913.01

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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.