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Finding the Fourth Proportional to 77,967.93, 107,597.70 and 47,769.90

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Solution

The fourth proportional to 77,967.93, 107,597.70 and 47,769.90 is: 65,923.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,967.93 : 107,597.70 = 47,769.90 : x
  2. Step 2: Convert to fraction form
    77,967.93/107,597.70 = 47,769.90/x
  3. Step 3: Cross multiply
    77,967.93x = 107,597.70 × 47,769.90
  4. Step 4: Simplify right side
    77,967.93x = 5,139,931,369.23
  5. Step 5: Solve for x
    x = 5,139,931,369.23/77,967.93
  6. Step 6: Final answer
    x = 65,923.66

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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.