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Finding the Fourth Proportional to 46,933.88, 64,768.75 and 28,071

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Solution

The fourth proportional to 46,933.88, 64,768.75 and 28,071 is: 38,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,933.88 : 64,768.75 = 28,071 : x
  2. Step 2: Convert to fraction form
    46,933.88/64,768.75 = 28,071/x
  3. Step 3: Cross multiply
    46,933.88x = 64,768.75 × 28,071
  4. Step 4: Simplify right side
    46,933.88x = 1,818,123,581.25
  5. Step 5: Solve for x
    x = 1,818,123,581.25/46,933.88
  6. Step 6: Final answer
    x = 38,737.98

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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.