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Finding the Fourth Proportional to 32,521.50, 48,782.25 and 7,897.50

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Solution

The fourth proportional to 32,521.50, 48,782.25 and 7,897.50 is: 11,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,521.50 : 48,782.25 = 7,897.50 : x
  2. Step 2: Convert to fraction form
    32,521.50/48,782.25 = 7,897.50/x
  3. Step 3: Cross multiply
    32,521.50x = 48,782.25 × 7,897.50
  4. Step 4: Simplify right side
    32,521.50x = 385,257,819.38
  5. Step 5: Solve for x
    x = 385,257,819.38/32,521.50
  6. Step 6: Final answer
    x = 11,846.25

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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.