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Finding the Fourth Proportional to 65,314, 90,134.08 and 35,506

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Solution

The fourth proportional to 65,314, 90,134.08 and 35,506 is: 48,998.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,314 : 90,134.08 = 35,506 : x
  2. Step 2: Convert to fraction form
    65,314/90,134.08 = 35,506/x
  3. Step 3: Cross multiply
    65,314x = 90,134.08 × 35,506
  4. Step 4: Simplify right side
    65,314x = 3,200,300,644.48
  5. Step 5: Solve for x
    x = 3,200,300,644.48/65,314
  6. Step 6: Final answer
    x = 48,998.69

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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.