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Finding the Fourth Proportional to 73,509.76, 101,444.16 and 43,696

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Solution

The fourth proportional to 73,509.76, 101,444.16 and 43,696 is: 60,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,509.76 : 101,444.16 = 43,696 : x
  2. Step 2: Convert to fraction form
    73,509.76/101,444.16 = 43,696/x
  3. Step 3: Cross multiply
    73,509.76x = 101,444.16 × 43,696
  4. Step 4: Simplify right side
    73,509.76x = 4,432,704,015.36
  5. Step 5: Solve for x
    x = 4,432,704,015.36/73,509.76
  6. Step 6: Final answer
    x = 60,300.89

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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.