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Finding the Fourth Proportional to 32,641.64, 45,048.66 and 19,893.86

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Solution

The fourth proportional to 32,641.64, 45,048.66 and 19,893.86 is: 27,455.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,641.64 : 45,048.66 = 19,893.86 : x
  2. Step 2: Convert to fraction form
    32,641.64/45,048.66 = 19,893.86/x
  3. Step 3: Cross multiply
    32,641.64x = 45,048.66 × 19,893.86
  4. Step 4: Simplify right side
    32,641.64x = 896,191,735.23
  5. Step 5: Solve for x
    x = 896,191,735.23/32,641.64
  6. Step 6: Final answer
    x = 27,455.48

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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.