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Finding the Fourth Proportional to 32,323.76, 48,484.23 and 10,136.63

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Solution

The fourth proportional to 32,323.76, 48,484.23 and 10,136.63 is: 15,204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,323.76 : 48,484.23 = 10,136.63 : x
  2. Step 2: Convert to fraction form
    32,323.76/48,484.23 = 10,136.63/x
  3. Step 3: Cross multiply
    32,323.76x = 48,484.23 × 10,136.63
  4. Step 4: Simplify right side
    32,323.76x = 491,466,700.34
  5. Step 5: Solve for x
    x = 491,466,700.34/32,323.76
  6. Step 6: Final answer
    x = 15,204.50

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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.