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Finding the Fourth Proportional to 77,074.67, 106,362.23 and 45,237.42

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Solution

The fourth proportional to 77,074.67, 106,362.23 and 45,237.42 is: 62,427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,074.67 : 106,362.23 = 45,237.42 : x
  2. Step 2: Convert to fraction form
    77,074.67/106,362.23 = 45,237.42/x
  3. Step 3: Cross multiply
    77,074.67x = 106,362.23 × 45,237.42
  4. Step 4: Simplify right side
    77,074.67x = 4,811,552,644.46
  5. Step 5: Solve for x
    x = 4,811,552,644.46/77,074.67
  6. Step 6: Final answer
    x = 62,427.16

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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.