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Finding the Fourth Proportional to 48,973.80, 73,460.70 and 34,228.20

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Solution

The fourth proportional to 48,973.80, 73,460.70 and 34,228.20 is: 51,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,973.80 : 73,460.70 = 34,228.20 : x
  2. Step 2: Convert to fraction form
    48,973.80/73,460.70 = 34,228.20/x
  3. Step 3: Cross multiply
    48,973.80x = 73,460.70 × 34,228.20
  4. Step 4: Simplify right side
    48,973.80x = 2,514,427,531.74
  5. Step 5: Solve for x
    x = 2,514,427,531.74/48,973.80
  6. Step 6: Final answer
    x = 51,342.30

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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.