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Finding the Fourth Proportional to 32,838.14, 49,256.69 and 22,281.91

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Solution

The fourth proportional to 32,838.14, 49,256.69 and 22,281.91 is: 33,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838.14 : 49,256.69 = 22,281.91 : x
  2. Step 2: Convert to fraction form
    32,838.14/49,256.69 = 22,281.91/x
  3. Step 3: Cross multiply
    32,838.14x = 49,256.69 × 22,281.91
  4. Step 4: Simplify right side
    32,838.14x = 1,097,532,898.93
  5. Step 5: Solve for x
    x = 1,097,532,898.93/32,838.14
  6. Step 6: Final answer
    x = 33,422.50

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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.