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Finding the Fourth Proportional to 97,185.60, 145,728 and 44,549.76

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Solution

The fourth proportional to 97,185.60, 145,728 and 44,549.76 is: 66,801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,185.60 : 145,728 = 44,549.76 : x
  2. Step 2: Convert to fraction form
    97,185.60/145,728 = 44,549.76/x
  3. Step 3: Cross multiply
    97,185.60x = 145,728 × 44,549.76
  4. Step 4: Simplify right side
    97,185.60x = 6,492,147,425.28
  5. Step 5: Solve for x
    x = 6,492,147,425.28/97,185.60
  6. Step 6: Final answer
    x = 66,801.54

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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.