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Finding the Fourth Proportional to 65,336.32, 97,926.72 and 37,576

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Solution

The fourth proportional to 65,336.32, 97,926.72 and 37,576 is: 56,319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,336.32 : 97,926.72 = 37,576 : x
  2. Step 2: Convert to fraction form
    65,336.32/97,926.72 = 37,576/x
  3. Step 3: Cross multiply
    65,336.32x = 97,926.72 × 37,576
  4. Step 4: Simplify right side
    65,336.32x = 3,679,694,430.72
  5. Step 5: Solve for x
    x = 3,679,694,430.72/65,336.32
  6. Step 6: Final answer
    x = 56,319.28

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