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Finding the Fourth Proportional to 32,957.85, 49,449.72 and 14,476.89

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Solution

The fourth proportional to 32,957.85, 49,449.72 and 14,476.89 is: 21,721.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,957.85 : 49,449.72 = 14,476.89 : x
  2. Step 2: Convert to fraction form
    32,957.85/49,449.72 = 14,476.89/x
  3. Step 3: Cross multiply
    32,957.85x = 49,449.72 × 14,476.89
  4. Step 4: Simplify right side
    32,957.85x = 715,878,156.97
  5. Step 5: Solve for x
    x = 715,878,156.97/32,957.85
  6. Step 6: Final answer
    x = 21,721.02

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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.