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Finding the Fourth Proportional to 65,682.31, 90,641.70 and 37,388

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Solution

The fourth proportional to 65,682.31, 90,641.70 and 37,388 is: 51,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,682.31 : 90,641.70 = 37,388 : x
  2. Step 2: Convert to fraction form
    65,682.31/90,641.70 = 37,388/x
  3. Step 3: Cross multiply
    65,682.31x = 90,641.70 × 37,388
  4. Step 4: Simplify right side
    65,682.31x = 3,388,911,879.60
  5. Step 5: Solve for x
    x = 3,388,911,879.60/65,682.31
  6. Step 6: Final answer
    x = 51,595.50

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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.