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Finding the Fourth Proportional to 77,006.72, 106,270.16 and 45,176.16

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Solution

The fourth proportional to 77,006.72, 106,270.16 and 45,176.16 is: 62,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,006.72 : 106,270.16 = 45,176.16 : x
  2. Step 2: Convert to fraction form
    77,006.72/106,270.16 = 45,176.16/x
  3. Step 3: Cross multiply
    77,006.72x = 106,270.16 × 45,176.16
  4. Step 4: Simplify right side
    77,006.72x = 4,800,877,751.39
  5. Step 5: Solve for x
    x = 4,800,877,751.39/77,006.72
  6. Step 6: Final answer
    x = 62,343.62

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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.