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Finding the Fourth Proportional to 65,002.30, 97,503.45 and 57,744.70

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Solution

The fourth proportional to 65,002.30, 97,503.45 and 57,744.70 is: 86,617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,002.30 : 97,503.45 = 57,744.70 : x
  2. Step 2: Convert to fraction form
    65,002.30/97,503.45 = 57,744.70/x
  3. Step 3: Cross multiply
    65,002.30x = 97,503.45 × 57,744.70
  4. Step 4: Simplify right side
    65,002.30x = 5,630,307,469.22
  5. Step 5: Solve for x
    x = 5,630,307,469.22/65,002.30
  6. Step 6: Final answer
    x = 86,617.05

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