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Finding the Fourth Proportional to 71,980.47, 107,749.22 and 46,966.66

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Solution

The fourth proportional to 71,980.47, 107,749.22 and 46,966.66 is: 70,305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,980.47 : 107,749.22 = 46,966.66 : x
  2. Step 2: Convert to fraction form
    71,980.47/107,749.22 = 46,966.66/x
  3. Step 3: Cross multiply
    71,980.47x = 107,749.22 × 46,966.66
  4. Step 4: Simplify right side
    71,980.47x = 5,060,620,981.01
  5. Step 5: Solve for x
    x = 5,060,620,981.01/71,980.47
  6. Step 6: Final answer
    x = 70,305.47

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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.