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Finding the Fourth Proportional to 65,284.75, 97,927.13 and 43,092.95

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Solution

The fourth proportional to 65,284.75, 97,927.13 and 43,092.95 is: 64,639.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,284.75 : 97,927.13 = 43,092.95 : x
  2. Step 2: Convert to fraction form
    65,284.75/97,927.13 = 43,092.95/x
  3. Step 3: Cross multiply
    65,284.75x = 97,927.13 × 43,092.95
  4. Step 4: Simplify right side
    65,284.75x = 4,219,968,534.83
  5. Step 5: Solve for x
    x = 4,219,968,534.83/65,284.75
  6. Step 6: Final answer
    x = 64,639.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.