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Finding the Fourth Proportional to 32,137.70, 48,208.82 and 9,948.20

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Solution

The fourth proportional to 32,137.70, 48,208.82 and 9,948.20 is: 14,923.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,137.70 : 48,208.82 = 9,948.20 : x
  2. Step 2: Convert to fraction form
    32,137.70/48,208.82 = 9,948.20/x
  3. Step 3: Cross multiply
    32,137.70x = 48,208.82 × 9,948.20
  4. Step 4: Simplify right side
    32,137.70x = 479,590,692.34
  5. Step 5: Solve for x
    x = 479,590,692.34/32,137.70
  6. Step 6: Final answer
    x = 14,923.00

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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.