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Finding the Fourth Proportional to 32,740.50, 49,111.97 and 10,554.20

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Solution

The fourth proportional to 32,740.50, 49,111.97 and 10,554.20 is: 15,831.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,740.50 : 49,111.97 = 10,554.20 : x
  2. Step 2: Convert to fraction form
    32,740.50/49,111.97 = 10,554.20/x
  3. Step 3: Cross multiply
    32,740.50x = 49,111.97 × 10,554.20
  4. Step 4: Simplify right side
    32,740.50x = 518,337,553.77
  5. Step 5: Solve for x
    x = 518,337,553.77/32,740.50
  6. Step 6: Final answer
    x = 15,831.69

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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.