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Finding the Fourth Proportional to 32,907, 45,412.76 and 18,003

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Solution

The fourth proportional to 32,907, 45,412.76 and 18,003 is: 24,844.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,907 : 45,412.76 = 18,003 : x
  2. Step 2: Convert to fraction form
    32,907/45,412.76 = 18,003/x
  3. Step 3: Cross multiply
    32,907x = 45,412.76 × 18,003
  4. Step 4: Simplify right side
    32,907x = 817,565,918.28
  5. Step 5: Solve for x
    x = 817,565,918.28/32,907
  6. Step 6: Final answer
    x = 24,844.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.