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Finding the Fourth Proportional to 49,693.76, 74,543.04 and 14,633.76

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Solution

The fourth proportional to 49,693.76, 74,543.04 and 14,633.76 is: 21,951.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,693.76 : 74,543.04 = 14,633.76 : x
  2. Step 2: Convert to fraction form
    49,693.76/74,543.04 = 14,633.76/x
  3. Step 3: Cross multiply
    49,693.76x = 74,543.04 × 14,633.76
  4. Step 4: Simplify right side
    49,693.76x = 1,090,844,957.03
  5. Step 5: Solve for x
    x = 1,090,844,957.03/49,693.76
  6. Step 6: Final answer
    x = 21,951.35

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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.