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Finding the Fourth Proportional to 32,136.41, 48,206.64 and 9,947.93

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Solution

The fourth proportional to 32,136.41, 48,206.64 and 9,947.93 is: 14,922.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,136.41 : 48,206.64 = 9,947.93 : x
  2. Step 2: Convert to fraction form
    32,136.41/48,206.64 = 9,947.93/x
  3. Step 3: Cross multiply
    32,136.41x = 48,206.64 × 9,947.93
  4. Step 4: Simplify right side
    32,136.41x = 479,556,280.26
  5. Step 5: Solve for x
    x = 479,556,280.26/32,136.41
  6. Step 6: Final answer
    x = 14,922.52

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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.