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Finding the Fourth Proportional to 43,002.30, 64,503.45 and 11,412.30

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Solution

The fourth proportional to 43,002.30, 64,503.45 and 11,412.30 is: 17,118.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,002.30 : 64,503.45 = 11,412.30 : x
  2. Step 2: Convert to fraction form
    43,002.30/64,503.45 = 11,412.30/x
  3. Step 3: Cross multiply
    43,002.30x = 64,503.45 × 11,412.30
  4. Step 4: Simplify right side
    43,002.30x = 736,132,722.44
  5. Step 5: Solve for x
    x = 736,132,722.44/43,002.30
  6. Step 6: Final answer
    x = 17,118.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.