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Finding the Fourth Proportional to 92,858.16, 128,095.92 and 57,056.16

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Solution

The fourth proportional to 92,858.16, 128,095.92 and 57,056.16 is: 78,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,858.16 : 128,095.92 = 57,056.16 : x
  2. Step 2: Convert to fraction form
    92,858.16/128,095.92 = 57,056.16/x
  3. Step 3: Cross multiply
    92,858.16x = 128,095.92 × 57,056.16
  4. Step 4: Simplify right side
    92,858.16x = 7,308,661,306.87
  5. Step 5: Solve for x
    x = 7,308,661,306.87/92,858.16
  6. Step 6: Final answer
    x = 78,707.80

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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.