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Finding the Fourth Proportional to 69,701.84, 96,187.56 and 37,870.64

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Solution

The fourth proportional to 69,701.84, 96,187.56 and 37,870.64 is: 52,260.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,701.84 : 96,187.56 = 37,870.64 : x
  2. Step 2: Convert to fraction form
    69,701.84/96,187.56 = 37,870.64/x
  3. Step 3: Cross multiply
    69,701.84x = 96,187.56 × 37,870.64
  4. Step 4: Simplify right side
    69,701.84x = 3,642,684,457.24
  5. Step 5: Solve for x
    x = 3,642,684,457.24/69,701.84
  6. Step 6: Final answer
    x = 52,260.95

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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.