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Finding the Fourth Proportional to 74,973.90, 112,491.94 and 32,832.20

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Solution

The fourth proportional to 74,973.90, 112,491.94 and 32,832.20 is: 49,261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,973.90 : 112,491.94 = 32,832.20 : x
  2. Step 2: Convert to fraction form
    74,973.90/112,491.94 = 32,832.20/x
  3. Step 3: Cross multiply
    74,973.90x = 112,491.94 × 32,832.20
  4. Step 4: Simplify right side
    74,973.90x = 3,693,357,872.47
  5. Step 5: Solve for x
    x = 3,693,357,872.47/74,973.90
  6. Step 6: Final answer
    x = 49,261.91

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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.