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Finding the Fourth Proportional to 32,966.08, 49,434.08 and 14,237.28

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Solution

The fourth proportional to 32,966.08, 49,434.08 and 14,237.28 is: 21,349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,966.08 : 49,434.08 = 14,237.28 : x
  2. Step 2: Convert to fraction form
    32,966.08/49,434.08 = 14,237.28/x
  3. Step 3: Cross multiply
    32,966.08x = 49,434.08 × 14,237.28
  4. Step 4: Simplify right side
    32,966.08x = 703,806,838.50
  5. Step 5: Solve for x
    x = 703,806,838.50/32,966.08
  6. Step 6: Final answer
    x = 21,349.42

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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.