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Finding the Fourth Proportional to 32,898.24, 49,354.65 and 15,358.50

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Solution

The fourth proportional to 32,898.24, 49,354.65 and 15,358.50 is: 23,041.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,898.24 : 49,354.65 = 15,358.50 : x
  2. Step 2: Convert to fraction form
    32,898.24/49,354.65 = 15,358.50/x
  3. Step 3: Cross multiply
    32,898.24x = 49,354.65 × 15,358.50
  4. Step 4: Simplify right side
    32,898.24x = 758,013,392.03
  5. Step 5: Solve for x
    x = 758,013,392.03/32,898.24
  6. Step 6: Final answer
    x = 23,041.15

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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.