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Finding the Fourth Proportional to 32,047.80, 48,006.90 and 16,474.20

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Solution

The fourth proportional to 32,047.80, 48,006.90 and 16,474.20 is: 24,677.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,047.80 : 48,006.90 = 16,474.20 : x
  2. Step 2: Convert to fraction form
    32,047.80/48,006.90 = 16,474.20/x
  3. Step 3: Cross multiply
    32,047.80x = 48,006.90 × 16,474.20
  4. Step 4: Simplify right side
    32,047.80x = 790,875,271.98
  5. Step 5: Solve for x
    x = 790,875,271.98/32,047.80
  6. Step 6: Final answer
    x = 24,677.99

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1.5x scale

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.