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Finding the Fourth Proportional to 43,430.51, 65,149.41 and 13,852.55

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Solution

The fourth proportional to 43,430.51, 65,149.41 and 13,852.55 is: 20,779.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,430.51 : 65,149.41 = 13,852.55 : x
  2. Step 2: Convert to fraction form
    43,430.51/65,149.41 = 13,852.55/x
  3. Step 3: Cross multiply
    43,430.51x = 65,149.41 × 13,852.55
  4. Step 4: Simplify right side
    43,430.51x = 902,485,459.50
  5. Step 5: Solve for x
    x = 902,485,459.50/43,430.51
  6. Step 6: Final answer
    x = 20,779.99

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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.