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Finding the Fourth Proportional to 65,344.64, 97,977.50 and 29,314.50

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Solution

The fourth proportional to 65,344.64, 97,977.50 and 29,314.50 is: 43,954.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,344.64 : 97,977.50 = 29,314.50 : x
  2. Step 2: Convert to fraction form
    65,344.64/97,977.50 = 29,314.50/x
  3. Step 3: Cross multiply
    65,344.64x = 97,977.50 × 29,314.50
  4. Step 4: Simplify right side
    65,344.64x = 2,872,160,909.76
  5. Step 5: Solve for x
    x = 2,872,160,909.76/65,344.64
  6. Step 6: Final answer
    x = 43,954.04

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Why These Related Problems?

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