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Finding the Fourth Proportional to 65,123.60, 97,539.60 and 50,284.40

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Solution

The fourth proportional to 65,123.60, 97,539.60 and 50,284.40 is: 75,314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,123.60 : 97,539.60 = 50,284.40 : x
  2. Step 2: Convert to fraction form
    65,123.60/97,539.60 = 50,284.40/x
  3. Step 3: Cross multiply
    65,123.60x = 97,539.60 × 50,284.40
  4. Step 4: Simplify right side
    65,123.60x = 4,904,720,262.24
  5. Step 5: Solve for x
    x = 4,904,720,262.24/65,123.60
  6. Step 6: Final answer
    x = 75,314.02

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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.