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Finding the Fourth Proportional to 65,357.82, 97,881.21 and 37,597.50

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Solution

The fourth proportional to 65,357.82, 97,881.21 and 37,597.50 is: 56,306.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,357.82 : 97,881.21 = 37,597.50 : x
  2. Step 2: Convert to fraction form
    65,357.82/97,881.21 = 37,597.50/x
  3. Step 3: Cross multiply
    65,357.82x = 97,881.21 × 37,597.50
  4. Step 4: Simplify right side
    65,357.82x = 3,680,088,792.98
  5. Step 5: Solve for x
    x = 3,680,088,792.98/65,357.82
  6. Step 6: Final answer
    x = 56,306.79

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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.