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Finding the Fourth Proportional to 49,852.64, 74,762.79 and 16,563.77

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Solution

The fourth proportional to 49,852.64, 74,762.79 and 16,563.77 is: 24,840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,852.64 : 74,762.79 = 16,563.77 : x
  2. Step 2: Convert to fraction form
    49,852.64/74,762.79 = 16,563.77/x
  3. Step 3: Cross multiply
    49,852.64x = 74,762.79 × 16,563.77
  4. Step 4: Simplify right side
    49,852.64x = 1,238,353,502.55
  5. Step 5: Solve for x
    x = 1,238,353,502.55/49,852.64
  6. Step 6: Final answer
    x = 24,840.28

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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.