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Finding the Fourth Proportional to 30,374.08, 41,915.28 and 17,807.20

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Solution

The fourth proportional to 30,374.08, 41,915.28 and 17,807.20 is: 24,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,374.08 : 41,915.28 = 17,807.20 : x
  2. Step 2: Convert to fraction form
    30,374.08/41,915.28 = 17,807.20/x
  3. Step 3: Cross multiply
    30,374.08x = 41,915.28 × 17,807.20
  4. Step 4: Simplify right side
    30,374.08x = 746,393,774.02
  5. Step 5: Solve for x
    x = 746,393,774.02/30,374.08
  6. Step 6: Final answer
    x = 24,573.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.