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Finding the Fourth Proportional to 73,569.10, 110,368.05 and 31,449.10

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Solution

The fourth proportional to 73,569.10, 110,368.05 and 31,449.10 is: 47,179.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,569.10 : 110,368.05 = 31,449.10 : x
  2. Step 2: Convert to fraction form
    73,569.10/110,368.05 = 31,449.10/x
  3. Step 3: Cross multiply
    73,569.10x = 110,368.05 × 31,449.10
  4. Step 4: Simplify right side
    73,569.10x = 3,470,975,841.26
  5. Step 5: Solve for x
    x = 3,470,975,841.26/73,569.10
  6. Step 6: Final answer
    x = 47,179.81

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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.