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Finding the Fourth Proportional to 32,946, 45,465.48 and 18,042

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Solution

The fourth proportional to 32,946, 45,465.48 and 18,042 is: 24,897.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,946 : 45,465.48 = 18,042 : x
  2. Step 2: Convert to fraction form
    32,946/45,465.48 = 18,042/x
  3. Step 3: Cross multiply
    32,946x = 45,465.48 × 18,042
  4. Step 4: Simplify right side
    32,946x = 820,288,190.16
  5. Step 5: Solve for x
    x = 820,288,190.16/32,946
  6. Step 6: Final answer
    x = 24,897.96

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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.