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Finding the Fourth Proportional to 65,317.60, 97,830.60 and 50,409.55

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Solution

The fourth proportional to 65,317.60, 97,830.60 and 50,409.55 is: 75,501.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,317.60 : 97,830.60 = 50,409.55 : x
  2. Step 2: Convert to fraction form
    65,317.60/97,830.60 = 50,409.55/x
  3. Step 3: Cross multiply
    65,317.60x = 97,830.60 × 50,409.55
  4. Step 4: Simplify right side
    65,317.60x = 4,931,596,522.23
  5. Step 5: Solve for x
    x = 4,931,596,522.23/65,317.60
  6. Step 6: Final answer
    x = 75,501.80

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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.