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Finding the Fourth Proportional to 32,391.92, 48,602 and 11,347.08

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Solution

The fourth proportional to 32,391.92, 48,602 and 11,347.08 is: 17,025.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,391.92 : 48,602 = 11,347.08 : x
  2. Step 2: Convert to fraction form
    32,391.92/48,602 = 11,347.08/x
  3. Step 3: Cross multiply
    32,391.92x = 48,602 × 11,347.08
  4. Step 4: Simplify right side
    32,391.92x = 551,490,782.16
  5. Step 5: Solve for x
    x = 551,490,782.16/32,391.92
  6. Step 6: Final answer
    x = 17,025.57

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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.