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Finding the Fourth Proportional to 97,314.60, 145,708.02 and 50,469.06

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Solution

The fourth proportional to 97,314.60, 145,708.02 and 50,469.06 is: 75,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,314.60 : 145,708.02 = 50,469.06 : x
  2. Step 2: Convert to fraction form
    97,314.60/145,708.02 = 50,469.06/x
  3. Step 3: Cross multiply
    97,314.60x = 145,708.02 × 50,469.06
  4. Step 4: Simplify right side
    97,314.60x = 7,353,746,803.86
  5. Step 5: Solve for x
    x = 7,353,746,803.86/97,314.60
  6. Step 6: Final answer
    x = 75,566.74

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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.