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Finding the Fourth Proportional to 32,875, 45,367.50 and 17,971

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Solution

The fourth proportional to 32,875, 45,367.50 and 17,971 is: 24,799.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,875 : 45,367.50 = 17,971 : x
  2. Step 2: Convert to fraction form
    32,875/45,367.50 = 17,971/x
  3. Step 3: Cross multiply
    32,875x = 45,367.50 × 17,971
  4. Step 4: Simplify right side
    32,875x = 815,299,342.50
  5. Step 5: Solve for x
    x = 815,299,342.50/32,875
  6. Step 6: Final answer
    x = 24,799.98

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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.