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Finding the Fourth Proportional to 65,130.64, 89,882.32 and 36,835.76

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Solution

The fourth proportional to 65,130.64, 89,882.32 and 36,835.76 is: 50,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,130.64 : 89,882.32 = 36,835.76 : x
  2. Step 2: Convert to fraction form
    65,130.64/89,882.32 = 36,835.76/x
  3. Step 3: Cross multiply
    65,130.64x = 89,882.32 × 36,835.76
  4. Step 4: Simplify right side
    65,130.64x = 3,310,883,567.76
  5. Step 5: Solve for x
    x = 3,310,883,567.76/65,130.64
  6. Step 6: Final answer
    x = 50,834.50

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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.