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Finding the Fourth Proportional to 24,730.08, 37,095.44 and 8,090

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Solution

The fourth proportional to 24,730.08, 37,095.44 and 8,090 is: 12,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,730.08 : 37,095.44 = 8,090 : x
  2. Step 2: Convert to fraction form
    24,730.08/37,095.44 = 8,090/x
  3. Step 3: Cross multiply
    24,730.08x = 37,095.44 × 8,090
  4. Step 4: Simplify right side
    24,730.08x = 300,102,109.60
  5. Step 5: Solve for x
    x = 300,102,109.60/24,730.08
  6. Step 6: Final answer
    x = 12,135.10

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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.