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Finding the Fourth Proportional to 32,461.86, 48,692.28 and 16,657.77

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Solution

The fourth proportional to 32,461.86, 48,692.28 and 16,657.77 is: 24,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,461.86 : 48,692.28 = 16,657.77 : x
  2. Step 2: Convert to fraction form
    32,461.86/48,692.28 = 16,657.77/x
  3. Step 3: Cross multiply
    32,461.86x = 48,692.28 × 16,657.77
  4. Step 4: Simplify right side
    32,461.86x = 811,104,801.02
  5. Step 5: Solve for x
    x = 811,104,801.02/32,461.86
  6. Step 6: Final answer
    x = 24,986.39

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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.