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Finding the Fourth Proportional to 32,746.48, 45,186.84 and 18,596.56

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Solution

The fourth proportional to 32,746.48, 45,186.84 and 18,596.56 is: 25,661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,746.48 : 45,186.84 = 18,596.56 : x
  2. Step 2: Convert to fraction form
    32,746.48/45,186.84 = 18,596.56/x
  3. Step 3: Cross multiply
    32,746.48x = 45,186.84 × 18,596.56
  4. Step 4: Simplify right side
    32,746.48x = 840,319,781.27
  5. Step 5: Solve for x
    x = 840,319,781.27/32,746.48
  6. Step 6: Final answer
    x = 25,661.38

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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.