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Finding the Fourth Proportional to 43,609, 65,410.14 and 24,830.08

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Solution

The fourth proportional to 43,609, 65,410.14 and 24,830.08 is: 37,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,609 : 65,410.14 = 24,830.08 : x
  2. Step 2: Convert to fraction form
    43,609/65,410.14 = 24,830.08/x
  3. Step 3: Cross multiply
    43,609x = 65,410.14 × 24,830.08
  4. Step 4: Simplify right side
    43,609x = 1,624,139,009.01
  5. Step 5: Solve for x
    x = 1,624,139,009.01/43,609
  6. Step 6: Final answer
    x = 37,243.21

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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.