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Finding the Fourth Proportional to 32,683.61, 49,024.11 and 9,309.98

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Solution

The fourth proportional to 32,683.61, 49,024.11 and 9,309.98 is: 13,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,683.61 : 49,024.11 = 9,309.98 : x
  2. Step 2: Convert to fraction form
    32,683.61/49,024.11 = 9,309.98/x
  3. Step 3: Cross multiply
    32,683.61x = 49,024.11 × 9,309.98
  4. Step 4: Simplify right side
    32,683.61x = 456,413,483.62
  5. Step 5: Solve for x
    x = 456,413,483.62/32,683.61
  6. Step 6: Final answer
    x = 13,964.60

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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.