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Finding the Fourth Proportional to 74,442.92, 111,681.64 and 24,521.22

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Solution

The fourth proportional to 74,442.92, 111,681.64 and 24,521.22 is: 36,787.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,442.92 : 111,681.64 = 24,521.22 : x
  2. Step 2: Convert to fraction form
    74,442.92/111,681.64 = 24,521.22/x
  3. Step 3: Cross multiply
    74,442.92x = 111,681.64 × 24,521.22
  4. Step 4: Simplify right side
    74,442.92x = 2,738,570,064.40
  5. Step 5: Solve for x
    x = 2,738,570,064.40/74,442.92
  6. Step 6: Final answer
    x = 36,787.52

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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.