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Finding the Fourth Proportional to 65,678.32, 90,636.18 and 37,384

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Solution

The fourth proportional to 65,678.32, 90,636.18 and 37,384 is: 51,589.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,678.32 : 90,636.18 = 37,384 : x
  2. Step 2: Convert to fraction form
    65,678.32/90,636.18 = 37,384/x
  3. Step 3: Cross multiply
    65,678.32x = 90,636.18 × 37,384
  4. Step 4: Simplify right side
    65,678.32x = 3,388,342,953.12
  5. Step 5: Solve for x
    x = 3,388,342,953.12/65,678.32
  6. Step 6: Final answer
    x = 51,589.98

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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.