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Finding the Fourth Proportional to 65,461, 90,336.36 and 37,171.12

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Solution

The fourth proportional to 65,461, 90,336.36 and 37,171.12 is: 51,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,461 : 90,336.36 = 37,171.12 : x
  2. Step 2: Convert to fraction form
    65,461/90,336.36 = 37,171.12/x
  3. Step 3: Cross multiply
    65,461x = 90,336.36 × 37,171.12
  4. Step 4: Simplify right side
    65,461x = 3,357,903,677.92
  5. Step 5: Solve for x
    x = 3,357,903,677.92/65,461
  6. Step 6: Final answer
    x = 51,296.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.