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Finding the Fourth Proportional to 32,156.70, 48,235.05 and 9,969.90

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Solution

The fourth proportional to 32,156.70, 48,235.05 and 9,969.90 is: 14,954.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,156.70 : 48,235.05 = 9,969.90 : x
  2. Step 2: Convert to fraction form
    32,156.70/48,235.05 = 9,969.90/x
  3. Step 3: Cross multiply
    32,156.70x = 48,235.05 × 9,969.90
  4. Step 4: Simplify right side
    32,156.70x = 480,898,625.00
  5. Step 5: Solve for x
    x = 480,898,625.00/32,156.70
  6. Step 6: Final answer
    x = 14,954.85

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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.