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Finding the Fourth Proportional to 32,030.80, 48,286.48 and 29,890

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Solution

The fourth proportional to 32,030.80, 48,286.48 and 29,890 is: 45,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,030.80 : 48,286.48 = 29,890 : x
  2. Step 2: Convert to fraction form
    32,030.80/48,286.48 = 29,890/x
  3. Step 3: Cross multiply
    32,030.80x = 48,286.48 × 29,890
  4. Step 4: Simplify right side
    32,030.80x = 1,443,282,887.20
  5. Step 5: Solve for x
    x = 1,443,282,887.20/32,030.80
  6. Step 6: Final answer
    x = 45,059.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.