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Finding the Fourth Proportional to 76,657.16, 105,696.38 and 52,469.76

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Solution

The fourth proportional to 76,657.16, 105,696.38 and 52,469.76 is: 72,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,657.16 : 105,696.38 = 52,469.76 : x
  2. Step 2: Convert to fraction form
    76,657.16/105,696.38 = 52,469.76/x
  3. Step 3: Cross multiply
    76,657.16x = 105,696.38 × 52,469.76
  4. Step 4: Simplify right side
    76,657.16x = 5,545,863,691.47
  5. Step 5: Solve for x
    x = 5,545,863,691.47/76,657.16
  6. Step 6: Final answer
    x = 72,346.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.