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Finding the Fourth Proportional to 32,902.64, 45,384.74 and 21,572.86

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Solution

The fourth proportional to 32,902.64, 45,384.74 and 21,572.86 is: 29,756.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902.64 : 45,384.74 = 21,572.86 : x
  2. Step 2: Convert to fraction form
    32,902.64/45,384.74 = 21,572.86/x
  3. Step 3: Cross multiply
    32,902.64x = 45,384.74 × 21,572.86
  4. Step 4: Simplify right side
    32,902.64x = 979,078,642.16
  5. Step 5: Solve for x
    x = 979,078,642.16/32,902.64
  6. Step 6: Final answer
    x = 29,756.84

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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.