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Finding the Fourth Proportional to 49,907.66, 74,784.48 and 24,578.12

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Solution

The fourth proportional to 49,907.66, 74,784.48 and 24,578.12 is: 36,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,907.66 : 74,784.48 = 24,578.12 : x
  2. Step 2: Convert to fraction form
    49,907.66/74,784.48 = 24,578.12/x
  3. Step 3: Cross multiply
    49,907.66x = 74,784.48 × 24,578.12
  4. Step 4: Simplify right side
    49,907.66x = 1,838,061,549.66
  5. Step 5: Solve for x
    x = 1,838,061,549.66/49,907.66
  6. Step 6: Final answer
    x = 36,829.25

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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.