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Finding the Fourth Proportional to 32,012.10, 48,011.51 and 9,522.90

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Solution

The fourth proportional to 32,012.10, 48,011.51 and 9,522.90 is: 14,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012.10 : 48,011.51 = 9,522.90 : x
  2. Step 2: Convert to fraction form
    32,012.10/48,011.51 = 9,522.90/x
  3. Step 3: Cross multiply
    32,012.10x = 48,011.51 × 9,522.90
  4. Step 4: Simplify right side
    32,012.10x = 457,208,832.39
  5. Step 5: Solve for x
    x = 457,208,832.39/32,012.10
  6. Step 6: Final answer
    x = 14,282.38

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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.