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Finding the Fourth Proportional to 92,923.76, 128,287.84 and 61,184.80

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Solution

The fourth proportional to 92,923.76, 128,287.84 and 61,184.80 is: 84,469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,923.76 : 128,287.84 = 61,184.80 : x
  2. Step 2: Convert to fraction form
    92,923.76/128,287.84 = 61,184.80/x
  3. Step 3: Cross multiply
    92,923.76x = 128,287.84 × 61,184.80
  4. Step 4: Simplify right side
    92,923.76x = 7,849,265,832.83
  5. Step 5: Solve for x
    x = 7,849,265,832.83/92,923.76
  6. Step 6: Final answer
    x = 84,469.96

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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.