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Finding the Fourth Proportional to 65,820.80, 92,382.40 and 65,820.80

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Solution

The fourth proportional to 65,820.80, 92,382.40 and 65,820.80 is: 92,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,820.80 : 92,382.40 = 65,820.80 : x
  2. Step 2: Convert to fraction form
    65,820.80/92,382.40 = 65,820.80/x
  3. Step 3: Cross multiply
    65,820.80x = 92,382.40 × 65,820.80
  4. Step 4: Simplify right side
    65,820.80x = 6,080,683,473.92
  5. Step 5: Solve for x
    x = 6,080,683,473.92/65,820.80
  6. Step 6: Final answer
    x = 92,382.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.