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Finding the Fourth Proportional to 49,980.96, 74,946.72 and 16,689.60

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Solution

The fourth proportional to 49,980.96, 74,946.72 and 16,689.60 is: 25,026.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,980.96 : 74,946.72 = 16,689.60 : x
  2. Step 2: Convert to fraction form
    49,980.96/74,946.72 = 16,689.60/x
  3. Step 3: Cross multiply
    49,980.96x = 74,946.72 × 16,689.60
  4. Step 4: Simplify right side
    49,980.96x = 1,250,830,778.11
  5. Step 5: Solve for x
    x = 1,250,830,778.11/49,980.96
  6. Step 6: Final answer
    x = 25,026.15

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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.