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Finding the Fourth Proportional to 48,468.70, 72,704.76 and 13,411

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Solution

The fourth proportional to 48,468.70, 72,704.76 and 13,411 is: 20,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,468.70 : 72,704.76 = 13,411 : x
  2. Step 2: Convert to fraction form
    48,468.70/72,704.76 = 13,411/x
  3. Step 3: Cross multiply
    48,468.70x = 72,704.76 × 13,411
  4. Step 4: Simplify right side
    48,468.70x = 975,043,536.36
  5. Step 5: Solve for x
    x = 975,043,536.36/48,468.70
  6. Step 6: Final answer
    x = 20,116.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.