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Finding the Fourth Proportional to 32,735.54, 49,102.07 and 10,549.04

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Solution

The fourth proportional to 32,735.54, 49,102.07 and 10,549.04 is: 15,823.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,735.54 : 49,102.07 = 10,549.04 : x
  2. Step 2: Convert to fraction form
    32,735.54/49,102.07 = 10,549.04/x
  3. Step 3: Cross multiply
    32,735.54x = 49,102.07 × 10,549.04
  4. Step 4: Simplify right side
    32,735.54x = 517,979,402.26
  5. Step 5: Solve for x
    x = 517,979,402.26/32,735.54
  6. Step 6: Final answer
    x = 15,823.15

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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.