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Finding the Fourth Proportional to 32,695.12, 49,038 and 10,505.58

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Solution

The fourth proportional to 32,695.12, 49,038 and 10,505.58 is: 15,756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,695.12 : 49,038 = 10,505.58 : x
  2. Step 2: Convert to fraction form
    32,695.12/49,038 = 10,505.58/x
  3. Step 3: Cross multiply
    32,695.12x = 49,038 × 10,505.58
  4. Step 4: Simplify right side
    32,695.12x = 515,172,632.04
  5. Step 5: Solve for x
    x = 515,172,632.04/32,695.12
  6. Step 6: Final answer
    x = 15,756.87

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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.