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Finding the Fourth Proportional to 49,746.64, 74,602.04 and 16,460.56

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Solution

The fourth proportional to 49,746.64, 74,602.04 and 16,460.56 is: 24,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,746.64 : 74,602.04 = 16,460.56 : x
  2. Step 2: Convert to fraction form
    49,746.64/74,602.04 = 16,460.56/x
  3. Step 3: Cross multiply
    49,746.64x = 74,602.04 × 16,460.56
  4. Step 4: Simplify right side
    49,746.64x = 1,227,991,355.54
  5. Step 5: Solve for x
    x = 1,227,991,355.54/49,746.64
  6. Step 6: Final answer
    x = 24,684.91

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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.