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Finding the Fourth Proportional to 32,401.53, 48,602.30 and 7,777.53

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Solution

The fourth proportional to 32,401.53, 48,602.30 and 7,777.53 is: 11,666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,401.53 : 48,602.30 = 7,777.53 : x
  2. Step 2: Convert to fraction form
    32,401.53/48,602.30 = 7,777.53/x
  3. Step 3: Cross multiply
    32,401.53x = 48,602.30 × 7,777.53
  4. Step 4: Simplify right side
    32,401.53x = 378,005,846.32
  5. Step 5: Solve for x
    x = 378,005,846.32/32,401.53
  6. Step 6: Final answer
    x = 11,666.30

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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.