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Finding the Fourth Proportional to 73,594.51, 110,410.16 and 29,206.58

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Solution

The fourth proportional to 73,594.51, 110,410.16 and 29,206.58 is: 43,817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,594.51 : 110,410.16 = 29,206.58 : x
  2. Step 2: Convert to fraction form
    73,594.51/110,410.16 = 29,206.58/x
  3. Step 3: Cross multiply
    73,594.51x = 110,410.16 × 29,206.58
  4. Step 4: Simplify right side
    73,594.51x = 3,224,702,472.77
  5. Step 5: Solve for x
    x = 3,224,702,472.77/73,594.51
  6. Step 6: Final answer
    x = 43,817.16

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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.