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Finding the Fourth Proportional to 30,992.76, 46,657.76 and 28,237.14

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Solution

The fourth proportional to 30,992.76, 46,657.76 and 28,237.14 is: 42,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.76 : 46,657.76 = 28,237.14 : x
  2. Step 2: Convert to fraction form
    30,992.76/46,657.76 = 28,237.14/x
  3. Step 3: Cross multiply
    30,992.76x = 46,657.76 × 28,237.14
  4. Step 4: Simplify right side
    30,992.76x = 1,317,481,701.21
  5. Step 5: Solve for x
    x = 1,317,481,701.21/30,992.76
  6. Step 6: Final answer
    x = 42,509.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.