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Finding the Fourth Proportional to 32,504.76, 48,762.54 and 10,311.84

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Solution

The fourth proportional to 32,504.76, 48,762.54 and 10,311.84 is: 15,469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,504.76 : 48,762.54 = 10,311.84 : x
  2. Step 2: Convert to fraction form
    32,504.76/48,762.54 = 10,311.84/x
  3. Step 3: Cross multiply
    32,504.76x = 48,762.54 × 10,311.84
  4. Step 4: Simplify right side
    32,504.76x = 502,831,510.47
  5. Step 5: Solve for x
    x = 502,831,510.47/32,504.76
  6. Step 6: Final answer
    x = 15,469.47

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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.